An integral-boundary value problem for a partial differential equation of second order

An analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients

‎This paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients‎. ‎At first‎, ‎the non-self-adjoint spectral problem is derived‎. ‎Then its adjoint problem is calculated‎. ‎After that‎, ‎for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined‎. ‎Finally the convergence ...

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Second-Order Boundary Value Problem with Integral Boundary Conditions

Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

where the functions f , g : [0, 1]× R→ R and h : [0, 1]× R→ R\{0} satisfy some special assumptions that will be given in detail in Section 3. Boundary value problems arise in a variety of applied mathematics and physics areas (refer to [1, 2] etc.). Some boundary value problems of ordinary equations may be turned into (1.1)-(1.2). For example, in the design of bridge, denote u(t) by the displac...

Numerical Solution of a Boundary Value Problem for a Second Order Fuzzy Differential Equation*

Two-point boundary value problem is considered for a second order fuzzy differential equation. This problem is reformulated to four different system of crisp boundary value problems, when fuzzy derivative is considered as a generalization of the Hderivative [1]. So, this problem has four different solutions. Numerical solution of each system is obtained by applying the shooting method. Numerica...