Existence and nonexistence of solutions for nonlinear second order q-integro-difference equations with non-separated boundary conditions


Authors

Ravi P. Agarwal - Department of Mathematics, Texas A&M University, Kingsville, TX 78363-8202, USA. - Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Guotao Wang - School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People's Republic of China. Aatef Hobiny - Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Lihong Zhang - School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People's Republic of China. Bashir Ahmad - Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.


Abstract

In this paper, we investigate a nonlinear second order boundary value problem of q-integro-difference equations supplemented with non-separated boundary conditions. Sufficient conditions for the existence and nonexistence of solutions are presented. Examples are provided for explanation of the obtained work.


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ISRP Style

Ravi P. Agarwal, Guotao Wang, Aatef Hobiny, Lihong Zhang, Bashir Ahmad, Existence and nonexistence of solutions for nonlinear second order q-integro-difference equations with non-separated boundary conditions, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 976--985

AMA Style

Agarwal Ravi P., Wang Guotao, Hobiny Aatef, Zhang Lihong, Ahmad Bashir, Existence and nonexistence of solutions for nonlinear second order q-integro-difference equations with non-separated boundary conditions. J. Nonlinear Sci. Appl. (2015); 8(6):976--985

Chicago/Turabian Style

Agarwal, Ravi P., Wang, Guotao, Hobiny, Aatef, Zhang, Lihong, Ahmad, Bashir. "Existence and nonexistence of solutions for nonlinear second order q-integro-difference equations with non-separated boundary conditions." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 976--985


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