Multipoint Boundary-Value Problem of Optimal Control for Parabolic Equations with Degeneration

On boundary value problem for fractional differential equations

In this paper‎, ‎we study the existence of solutions for a‎ ‎ fractional boundary value problem‎. ‎By using critical point theory‎ ‎ and variational methods‎, ‎we give some new criteria to guarantee‎ ‎ that‎ ‎ the problems have at least one solution and infinitely many solutions.

Initial - Boundary Value Problems for Parabolic Equations

Positive Solutions for Multipoint Boundary-value Problem with Parameters

In this paper, we study a generalized Sturm-Liouville boundaryvalue problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear operators, we obtain sufficient conditions for the existence of at least one positive solution.

Boundary Value Problem for Ordinary Differential Equations with Applications to Optimal Control

VPM (continuation method or homotopy method) may be considered as special development and modification of classical Newton’s method, see [1] [5], [16]. The main idea of VPM admits short formulation: reducing of a given problem to some IVP for ODE. This fundamental principle of mathematical physics is well known, widely used and effective because IVP for ODE may be considered as a routine comput...

Oscillation criteria for impulsive parabolic boundary value problem with delay

10 In this work, we study the criteria of oscillatory solutions to impulsive parabolic 11 boundary value problem with delay. First, we consider two types of boundary condition 12 which resolve in oscillatory solutions in the impulsive problem with delay, then we 13 further reduce the oscillation criteria for the problem. 14 2003 Published by Elsevier Science Inc. 15