Existence of solutions to a second order coupled system with nonlinear coupled boundary conditions
| dc.contributor.author | Naseer Ahmad Asif | |
| dc.contributor.author | Imran Talib | |
| dc.date.accessioned | 2018-10-19T11:35:12Z | |
| dc.date.available | 2018-10-19T11:35:12Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this article, study the existence of solutions for the second-order nonlinear coupled system of ordinary differential equations u 00(t) = f(t, v(t)), t ∈ [0, 1], v 00(t) = g(t, u(t)), t ∈ [0, 1], with nonlinear coupled boundary conditions φ(u(0), v(0), u(1), v(1), u0 (0), v0 (0)) = (0, 0), ψ(u(0), v(0), u(1), v(1), u0 (1), v0 (1)) = (0, 0), where f, g : [0, 1] × R → R and φ, ψ : R6 → R2 are continuous functions. Our main tools are coupled lower and upper solutions, Arzela-Ascoli theorem, and Schauder’s fixed point theorem. The results presented in this article extend those in [1, 3, 15]. | en_US |
| dc.identifier.citation | Asif, N. A., & Talib, I. (2015). Existence of Solutions to a Second Order Coupled System with Nonlinear Coupled Boundary Conditions. American Journal of Applied Mathematics, 3(3-1), 54-59. (Naseer Ahmad Asif and Imran Talib) | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://escholar.umt.edu.pk/handle/123456789/3370 | |
| dc.language.iso | en | en_US |
| dc.publisher | American Journal of Applied Mathematics | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | Existence of solutions to a second order coupled system with nonlinear coupled boundary conditions | en_US |
| dc.type | Article | en_US |
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