Mixed boundary-value problems for Maxwell’s equations

Mixed Two-point Boundary-value Problems for Impulsive Differential Equations

In this article, we prove the existence of solutions to mixed twopoint boundary-value problem for impulsive differential equations by variational methods, in both resonant and the non resonant cases.

Boundary value problems for mixed type equations and applications

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

Initial - Boundary Value Problems for Parabolic Equations

Boundary Value Problems for Elliptic Equations

where án, denotes differentiation in the direction of tlie normal to 8B . As is well known, there are explicit formulas for the solutions of the aboye problems, and one can then give a very careful analysis of the solutions when, say f E LP(áB, do), 1 < p < oo . In both cases, the boundary values are taken in the sense of non-tangential convergence, Le ., if Q E aB, and F(Q) _ F. (Q) _ {X E B1 ...