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İLKAY KARACA
PROFESÖR
Fen Fakültesi
Matematik Bölümü
Analiz ve Fonksiyonlar Teorisi AnaBilim Dalı
Contact Information

Eposta: ilkay.karaca@ege.edu.tr
Academic Degree Information

Lisans: Ege Üniversitesi, Türkiye, 1989

Yüksek Lisans: Ege Üniversitesi, Türkiye, 1993

Doktora: Ege Üniversitesi, Türkiye, 1996

Yardımcı Doçentlik: Ege Üniversitesi, Türkiye, 1997

Doçentlik: Ege Üniversitesi, Türkiye, 2008

Profesörlük: Ege Üniversitesi, Türkiye , 2015
Indexed Journal Publications (57 entries)

Çerdik,T. Senlik, Karaca, I. Yaslan, Sinanoglu A. and Fen, F. Tokmak, On the Solvability of a System of MultiPoint Second Order Boundary Value Problem, Journal of Computational Analysis and Applications 20 (2016) 666673.

Fen, F. Tokmak, Karaca, I. Yaslan, Existence of Positive Solutions for Nonlinear SecondOrder Impulsive Boundary Value Problems on Time Scales, Mediterranian Journal of Mathematics 13 (2016) 191204.

Fen, F. Tokmak and Karaca, I. Yaslan, On positive solutions of mpoint boundary value problems for pLaplacian impulsive dynamic equations on time scales, Indian Journal of Pure and Applied Mathematics 46 (2015) 723738.

Karaca, I. Yaslan and Fen, F.Tokmak, Positive Solutions of nthOrder Boundary Value Problems with Integral Boundary Conditions, Mathematical Modelling and Analysis 20 (2015) 188204.

Tokmak, F., Karaca, I. Yaslan, Senlik T. and Sinanoglu, A., The Existence of Symmetric Positive Solutions for a Nonlinear MultiPoint Boundary Value Problem on Time Scales, Journal of Computational Analysis and Applications 19 (2015) 670677.

Karaca, I. Yaslan, On positive solutions for fouthorder fourpoint boundary value problems with alternating coefficient on time scales, Dynamic Systems and Applications 24 (2015) 313326.

Karaca, I. Yaslan and Fen, F. Tokmak, Positive solutions of nthorder mpoint impulsive boundary value problems, Georgian Mathematical Journal 22 (2015) 373384.

Karaca, I. Yaslan and Fen, F. Tokmak, Multiple positive solutions for nonlinear secondorder mpoint impulsive boundary value problems on time scales, Filomat 29 (2015) 817827.

Karaca, I. Yaslan and Fen, F.Tokmak, Eigenvalues for iterative systems of dynamic equations with integral boundary conditions on time scales, Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Istatistics 64 (2015) 8797.

Fen, F. Tokmak and Karaca, I. Yaslan, Nonlinear fourpoint impulsive fractional differential equations with pLaplacian operator, Discontinuity, Nonlinearity, and Complexity 4(4) (2015) 467486.

Karaca, I. Yaslan, Ozen, Ozlem Batit and Tokmak F., Multiple positive solutions of boundary value problems for pLaplacian impulsive dynamic equations on time scales, Fixed Point Theory, 15 (2014) 475486.

Sinanoglu, A., Karaca, I. Yaslan, Tokmak, F. and Senlik, T., Existence of Three Symmetric Positive Solutions for a SecondOrder MultiPoint Boundary Value Problem on Time Scales, Advances in Difference Equations, 2014, 2014:81, doi:10.1186/16871847201481.

Karaca, I. Yaslan and Tokmak F., Existence of positive solutions for nonlinear thirdorder mpoint boundary value problems on time scales, Filomat, 28:5 (2014) 925–935.

Tokmak, F. and Karaca, I. Yaslan, Existence of Positive Solutions for a Second Order Eigenvalue Boundary Value Problem with Impulse on Time Scales, Journal of Advanced Research in Applied Mathematics, 6 (2014) 3249.

Karaca, I. Yaslan and Tokmak, F., Existence of solutions for nonlinear impulsive fractional dierential equations with pLaplacian operator, Mathematical Problems in Engineering, Volume 2014, Article ID 692703, 11 pages.

Karaca, I. Yaslan and Tokmak, F., Eigenvalues for Iterative Systems of Nonlinear mpoint Boundary Value Problems on Time Scales, Boundary Value Problems, 2014, 2014:63, doi:10.1186/1029242X2013498.

Karaca, I. Yaslan and Tokmak, F., Positive solutions of nthorder impulsive differential equations with integral boundary conditions, Analele Univ. “Ovidius”, Math Series, 2014

Tokmak, F. and Karaca, I. Yaslan, Existence of Positive Solutions for $p$Laplacian Impulsive Boundary Value Problems on Time Scales, Journal of Inequalities and Applications, 2014, 2014:196, doi:10.1186/16872770201463.

Fen, F. Tokmak and Karaca, I. Yaslan, Existence of positive solutions for boundary value problems of pLaplacian difference equations, Advances in Difference Equations, 2014:263.

Karaca, I. Yaslan and Fen, F. Tokmak, Positive Solutions of Boundary Value Problems for Secondorder pLaplacian Difference Equations,International Journal of Difference Equations 9 (2014) 243–269.

Karaca, I. Yaslan, On positive solutions for secondorder boundary value problems of functional differential equations, Appl. Math. Comput. 219 (2013) 5433–5439.

Karaca, I. Yaslan, Positive solutions to a nonlinear 2nth order boundary value problems on time scales, J. Comput. Anal. Appl. 15 (2013) 604611.

Karaca, I. Yaslan, Positive solutions of an nth order threepoint boundary value problem, Rocky Mountain Journal of Mathematics, 43 (2013) 205224.

Tokmak, F. and Karaca, I. Yaslan, Existence of symmetric positive solutions for a multipoint boundary value problem with signchanging nonlinearity on time scales, Boundary Value Problems 2013, 2013:52 doi:10.1186/16872770201352.

Tokmak, F., Karaca, I. Yaslan, Positive solutions of an impulsive secondorder boundary value problem on time scales, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 20 (2013) 695708.

Tokmak, F., Karaca, I. Yaslan, Positive solutions for second order multipoint boundary value problems, Chaotic Modeling and Simulation, 3 (2013) 463471.

Karaca, I. Yaslan, Tokmak, F., Existence of positive solutions for thirdorder boundary value problems with integral boundary conditions on time scales, Journal of Inequalities and Applications, 2013, 2013:298.

Ozen, Ozlem B., Karaca, I. Yaslan, Tokmak, F., Existence results for p Laplacian boundary value problems of impulsive dynamic equations on time scales, Advances in Difference Equations, 2013, 2013:334.

Ozen, Ozlem B., Karaca, I. Yaslan, Existence of solutions for mpoint boundary value problem with p Laplacian on time scales, Nonlinear Dynamics and Systems Theory, 13 (2013) 270285.

Karaca, I. Yaslan, Positive solutions of an nth order multipoint boundary value problem, J. Comput. Anal. Appl. 14 (2012) 181193.

Karaca, I. Yaslan, Upper and Lower Solution Method for FourthOrder FourPoint Boundary Value Problem on Time Scales, Abstr. and Appl. Anal. Article ID 647235 (2012) 114.

Tokmak, F. and Karaca, I. Yaslan, Existence of Positive Solutions for ThirdOrder mPoint Boundary Value Problems with SignChanging Nonlinearity on Time Scales, Abstr. and Appl. Anal. Article ID 506716 (2012) 115.

Karaca, I. Yaslan and Tokmak F., Triple positive solutions of mpoint time scale BVPs with pLaplacian on infinite intervals, Dynamic Systems and Applications 6 (2012) 205–212.

Karaca, I. Yaslan, Positive solutions to a system of a boundary value problems for higherdimensional dynamic equations on time scales, The Australian Journal of Mathematical Analysis and Applications, 9 (2012) 113.

Karaca, I. Yaslan and Tokmak, F., Existence of three positive solutions for mpoint time scale boundary value problems on infinite intervals, Dynam. Systems and Appl. 20 (2011) 355367.

Karaca, I. Yaslan, Positive solutions to an nth order multipoint boundary value problem on time scales, Nonlinear Dyn. Syst. Theory 11 (2011) 285–296.

Karaca, I. Yaslan and Yılmaz, O., Fourthorder mpoint boundary value problems on time scales, Dynam. Systems and Appl. 19 (2010) 249270.

Karaca, I. Yaslan, On positive solutions for higherorder boundary value problems with impulse, Dynam. Systems and Appl. 18 (2009) 687700.

Karaca, I. Yaslan, Positive solutions for boundary value problems of secondorder functional dynamic equations on time scales, Adv. Difference Equ. (2009), Article ID 829735, pages 121.

Karaca, I. Yaslan, On positive solutions for fourthorder boundary value problem with impulse, J. Comput. Appl. Math. 225 (2009) 356364.

Karaca, I. Yaslan, Asymptotic formulas for eigenvalues of a Hill's equation with piecewise constant coefficient, Math. Proc. R. Ir. Acad. 109 (2009) 1934.

Anderson, D.R. and Karaca, I. Yaslan, Higher order three point boundary value problem on time scales, Comput. Math. Appl. 56 (2008) 24292443.

Karaca, I. Yaslan, Fourthorder fourpoint boundary value problem on time scales, Appl. Math. Lett. 21 (2008) 10571063.

Karaca, I. Yaslan, Multiple positive solutions for dynamic mpoint boundary value problems, Dynam. Systems Appl. 17 (2008) 2542.

Karaca, I. Yaslan, Nonlinear triplepoint problems with change of sign, Comput. Math. Appl. 55 (2008) 691703.

Karaca, I. Yaslan, On the existence of positive solutions for threepoint boundary value problems with alternating coefficients, Math. Comput. Modelling 47 (2008) 10191034.

Karaca, I. Yaslan, Discrete thirdorder threepoint boundary value problem, J. Comput. Appl. Math. 205 (2007) 458468.

Karaca, I. Yaslan, Positive solutions to nonlinear three point boundary value problems on time scales, PanAmerican J.Mathematics 17 (2007) 3349.

Karaca, I. Yaslan, On Hill's equation with piecewise constant and alternating coefficient, Journal of Science and Tecnology 1 (2007) 157266.

Karaca, I. Yaslan, Existence and nonexistence of positive solution to a rightfocal boundary problem on time scale, Adv. Difference Equ. (2006) Article ID 43039, pages 113.

Karaca, I. Yaslan ve G. Sh. Guseinov, Instability intervals of a Hill's equation with piecewise constant and alternating coefficient, Comput. Math. Appl. 47 (2004), 319326.

Karaca, I. Yaslan, On instability intervals of the Hill's equation with piecewise continuous coefficient, PanAmerican J.Mathematics 13 (2003) 8998.

Karaca, I. Yaslan, On Hill's equation with a discontinuous coefficient, Int. J. Mathematics and Mathematical Science 25 (2003) 15991624.

Karaca, I. Yaslan and Karaca I., Some formulas for conjugation, Southwest J. Pure and Applied Mathematics 2 (2001) 4352.

Karaca, I. Yaslan and Karaca I., On conjugation in the modp Steenrod algebra, Turkish J. Mathematics 2448 (2001) 17.

Yaslan, I., On the lengths of the instability intervals of Hill's equation with a piecewise constant coefficient, J. of Faculty of Sciences Ege University, 2128 (1998) 8592.

Yaslan I. and G. Sh. Guseinov, On Hill's equation with piecewise constant coefficient, Turkish J. Mathematics 214 (1997) 461474.
Publications in NonIndexed Journals (1 entries)

Tokmak, F. and Karaca, I. Yaslan, Positive solutions for thirdorder mpoint boundary value problems for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales, 2nd International Symposium on Computing in Science&Engineering 700 (2011)10891095.
Publications in Other Journals and Medias (2 entries)

0, Yüksek Lisans Tezi, Distribüsyon Uzayları ve Bazı Konvolüsyon Denklemlerinin Distribüsyon Çözümlerinin Araştırılması, 1993.

0, Doktora Tezi, Periyodik ve Süreksiz Fonksiyon Katsayılı SturmLiouville Denkleminin Spektral Teorisi Üzerine, 1996.
International Conference Proceedings (4 entries)

Saçıkara, E. and Karaca, I. Yaslan, Existence of positive solutions for mpoint boundary value problem with sign changing nonlinearity on time scales, International Conference on Applied Analysis and Algebra, Yildiz Technical University, Istanbul, Turkey, 2012.

Tokmak, F. and Karaca, I. Yaslan, A note on unbounded positive solutions for mpoint timescale boundary value problems on infinite intervals, International Conference on Applied Analysis and Algebra, Yildiz Technical University, Istanbul, Turkey, 2012.

Tokmak, F. and Karaca, I. Yaslan, Existence of three positive solutions for mpoint time scale boundary value problems on infinite intervals, The Sixth International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, Georgia, U.S.A., 2011.

Tokmak, F. and Karaca, I. Yaslan, Positive solutions for thirdorder mpoint boundary value problems for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales, 2nd International Symposium on Computing in Science&Engineering, Kuşadası, Aydın, Turkey, 2011.
National Conference Proceedings (3 entries)

Yaslan, I., On the instability intervals of Hill’s equation with discontinuous coefficient, 9th National Mathematic Symposium, Istanbul, 1996.

Yaslan, I., On the instability intervals of Hill’s equation, Mathematic Symposium, Altinoluk, 1996.

Yaslan, I., On the Hill’s equation with discontinuous coefficient, 8nd National Mathematic Symposium, Adana, 1995.
Finished Research Projects (6 entries)

2012, Araştırma Projesi, Karaca, I. Yaslan and Saçıkara, E., Zaman skalasında sonsuz aralık üzerinde ikinci mertebeden sınır değer problemlerinin pozitif çözümleri, 11 Fen 066, Ege University.

2012, Araştırma Projesi, Karaca, I. Yaslan and Sinanoğlu, A., Zaman skalasında dördüncü mertebeden sınır değer problemlerinin simetrik pozitif çözümleri, 11 Fen 095, Ege University.

2011, Araştırma Projesi, Karaca, I. Yaslan and Tokmak, F., Zaman skalasında bir boyutlu plaplacian sınır değer problemlerinin pozitif çözümleri, 2010 Fen 050, Ege University.

2010, Araştırma Projesi, Karaca, I. Yaslan, Positive solutions to higher order boundary value problems on time scales, 2009 Science 053, Ege University.

2008, Araştırma Projesi, Karaca, I. Yaslan and Yılmaz, Fourthorder mpoint boundary value problems on time scales, Ilkay Karaca and Ozlem Yılmaz, 2007 Science 008, Ege University.

2005, Araştırma Projesi, Existence and nonexistence of positive solutions to a rightfocal boundary value problem on time scales, Ilkay Karaca, 2004 Science 043, Ege University.
Student's Completed Thesis (5 entries)

Yüksek Lisans, 2012, Saçıkara, Elif, Zaman skalasında sonsuz aralık üzerinde ikinci mertebeden sınır değer problemlerinin pozitif çözümleri.

Yüksek Lisans, 2012, Sinanoğlu, Aycan, Zaman skalasında dördüncü mertebeden sınır değer problemlerinin simetrik pozitif çözümleri.

Yüksek Lisans, 2011, Tokmak, Fatma, Zaman skalasında bir boyutlu plaplacian sınır değer problemlerinin pozitif çözümleri.

Yüksek Lisans, 2008, Yılmaz, Özlem, Fourthorder mpoint boundary value problems on time scales.

Yüksek Lisans, 2005, Sevilcan, Hande Özsümer, Positive solutions of the secondorder twopoint boundary value problems on time scales.