Now showing items 1-5 of 5
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1981-05)
One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the monotone iterative method, which yields monotone sequences that converge to ...
On the Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
Systems by the Method of Quasisolutions
(University of Texas at Arlington, 1981-01)
Recently  the method of lower and upper solutions has been extended to systems of reaction diffusion equations which has become very useful in dealing with applications. This extension depends crucially on a ...
Existence of Periodic Solutions of Nonlinear Boundary Value Problems and the Method of Upper and Lower Solutions
(University of Texas at Arlington, 1981-11)
We study the existence of periodic solutions of second order nonlinear differential equations by combining the method of upper and lower solutions and the method of Alternative problems. Besides including previous results ...
Remarks on First and Second Order Periodic Boundary Value Problems
(University of Texas at Arlington, 1982-05)
We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain the existence of extremal solutions as limits of monotone iterates. ...