On the existence of solutions for P-Laplacian systems with integral Boundary conditions

Authors

  • Robabeh Sahandi Torogh Department of Mathematics, Varamin-Pishva branch, Islamic Azad University Varamin, Iran Author

DOI:

https://doi.org/10.14331/ijfps.2017.330107

Keywords:

Positive solution, Integral boundary condition, (p,q) - Laplacian system

Abstract

The boundary value problems arise from many fields of applied mathematics and physics. Various applications of boundary value problems to applied mathematical sciences are well documented in the literature. In this paper, I study the solutions for a class of (p,q) Laplacian system. Using the fixed point theorems in cones the existence of positive solutions is proved. Sufficient conditions are provided under which this system has solution.

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References

Avery, R., & Peterson, A. (2001). Three positive fixed points of nonlinear operators on ordered Banach spaces. Computers & Mathematics with Applications, 42(3-5), 313-322.

Deimling, K. (1985). Nonlinear Functional Analysis. 1985. Springler-Verlag, Berlin, 105.

Kong, L. (2006). Nonlinear boundary value problems of ordinary differential equations.

Liu, B. (2004). Positive solutions of three-point boundary value problems for the one-dimensional p-Laplacian with infinitely many singularities. Applied Mathematics Letters, 17(6), 655-661.

Yang, Y.-Y., & Wang, Q.-R. (2017). Multiple positive solutions for p-Laplacian equations with integral boundary conditions. Journal of Mathematical Analysis and Applications, 453(1), 558-571.

Published

2017-12-31

Issue

Section

Articles

How to Cite

On the existence of solutions for P-Laplacian systems with integral Boundary conditions (Robabeh Sahandi Torogh, Trans.). (2017). International Journal of Fundamental Physical Sciences, 7(4), 38-41. https://doi.org/10.14331/ijfps.2017.330107

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