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

Mathematics

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

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Author Biography

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

 

 

 

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. Springer-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.
IJFPS
Published
2017-12-31
How to Cite
Torogh, R. (2017). On the existence of solutions for P-Laplacian systems with ‎integral ‏Boundary conditions. International Journal of Fundamental Physical Sciences, 7(4), 38-41. https://doi.org/https://doi.org/10.14331/ijfps.2017.330107
Section
Articles