On some third order nonlinear boundary value problems: Existence, location and multiplicity results

Existence and multiplicity results for nonlinear boundary value problems

This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established. c © 2007 Elsevier Ltd. All rights reserved.

Existence of Solutions for Some Third-order Boundary-value Problems

In this paper concerns the third-order boundary-value problem u′′′(t) + f(t, u(t), u′(t), u′′(t)) = 0, 0 < t < 1, r1u(0)− r2u(0) = r3u(1) + r4u(1) = u′′(0) = 0. By placing certain restrictions on the nonlinear term f , we prove the existence of at least one solution to the boundary-value problem with the use of lower and upper solution method and of Schauder fixed-point theorem. The constructio...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Existence and Multiplicity of Solutions for Some Three-point Nonlinear Boundary Value Problems

We study the existence andmultiplicity of solutions for the three-point nonlinear boundary value problem u′′(t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1)− γu(η), where η ∈ (0,1), γ ∈ [0,1), a(t) and f (u) are assumed to be positive and have some singularities, and λ is a positive parameter. Under certain conditions, we prove that there exists λ∗ > 0 such that the three-point nonlinear bound...

Existence and Location Results for Fully Nonlinear Boundary Value Problem of nth-Order Nonlinear System