Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions

被引：0
作者：
Umaphon Sriphanomwan
Jessada Tariboon
Nichaphat Patanarapeelert
Sotiris K Ntouyas
Thanin Sitthiwirattham
机构：
[1] King Mongkut’s University of Technology North Bangkok,Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science
[2] University of Ioannina,Department of Mathematics
[3] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[4] CHE,Research Group, Department of Mathematices, Faculty of Science
[5] Suan Dusit University,Centre of Excellence in Mathematics
来源：
Advances in Difference Equations | / 2017卷
关键词：
Hahn difference equations; boundary value problems; existence; uniqueness; fixed point theorems; 39A10; 39A13; 39A70;
D O I：
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摘要：
In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference operators and a Hahn integral. The existence and uniqueness of solutions is obtained by using the Banach fixed point theorem, and the existence of at least one solution is established by using the Leray-Schauder nonlinear alternative and Krasnoselskii’s fixed point theorem. Illustrative examples are also presented to show the applicability of our results.
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[1]  
Aldowah KA(2012)The power quantum calculus and variational problems Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19 93-116
[2]  
Malinowska AB(2013)Symmetric differentiation on time scales Appl. Math. Lett. 26 264-269
[3]  
Torres DFM(2013)New applications of the variational iteration method from differential equations to Adv. Differ. Equ. 2013 320-337
[4]  
Birto da Cruz AMC(2013)-fractional difference equations Adv. Differ. Equ. 2013 4-34
[5]  
Martins N(2006)Quantum calculus on finite intervals and applications to impulsive difference equations J. Comput. Appl. Math. 196 1-16
[6]  
Torres DFM(1949)On characterization of classical polynomials Math. Nachr. 2 487-503
[7]  
Wu GC(1951)Über Orthogonalpolynome, die Q. J. Math. 2 206-228
[8]  
Baleanu D(1936)-Differenzenlgleichungen genügen Am. J. Math. 58 259-281
[9]  
Tariboon J(2007)Basic integration J. Math. Anal. Appl. 329 133-153
[10]  
Ntouyas SK(1998)On generalizations of sum formulas of the Euler-Maclaurin type Kyungpook Math. J. 38 419-442
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