Now showing items 1-7 of 7
An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms
An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. ...
Sign-changing and multiple solutions for the p-Laplacian
We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.
Oscillation criteria for a class of partial functional-differential equations of higher order
Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems ...
Stability analysis of nonlinear Lyapunov systems associated with an nth order system of matrix differential equations
This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for ...
Boundary value problems on the half line in the theory of colloids
We present existence results for some boundary value problems defined on infinite intervals. In particular our discussion includes a problem which arises in the theory of colloids.
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
We prove existence results for discontinuous functional equations in general Lp-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. ...
Resonance problems with respect to the Fučík spectrum of the p-Laplacian
We solve resonance problems with respect to the Fučík spectrum of the p-Laplacian using variational methods.