MULTI-POINT BOUNDARY VALUE PROBLEM WITHIN EQUALITIES 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

On the Weak Solution of a Three-point Boundary Value Problem for a Class of Parabolic Equations with Energy Specification

This paper deals with weak solution in weighted Sobolev spaces, of three-point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation. Next, analogous results are established f...

On Three-point Boundary Value Problem with a Weighted Integral Condition for a Class of Singular Parabolic Equations

Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations

and Applied Analysis 3 The inner product of H Ω is defined by 〈u x, t , v x, t 〉H 1 ∑ j 0 [ 1 ∑ i 0 ∂ j i tjxi u 0, 0 ∂ i tjxi v 0, 0 ∫1 0 ∂ j 3 tjx3 u x, 0 ∂ 3 tjx3 v x, 0 dx ]