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