Now showing items 1-10 of 33
The set of solutions for abstract volterra equations in lp([0, a], rm)
(Elsevier BV, 1999-11-01)
Boundary value problems for discrete equations
(Elsevier BV, 1997-07-01)
Two existence results are presented for second-order discrete boundary value problems. The first result is based on the notion of upper and lower solutions and the second result is based on the discrete Gelfand problem.
A general existence principle for strong solutions to the dirichlet problem for the equation δ u + f(t, u) = 0
(Elsevier BV, 1997-05-01)
An existence principle is established for Delta u + f(t, u) = 0 on Omega, u = 0 on partial derivative Omega. Our theory relies on a fixed point result for weakly sequentially continuous and weakly compact maps.
Fixed-point theory for the sum of two operators
(Elsevier BV, 1996-01-01)
We extend a fixed-point theorem of Reinermann  for the sum of two operators. Our results are then used to establish new existence results for differential equations in Banach spaces.
Continuation fixed point theorems for locally convex linear topological spaces
(Elsevier BV, 1996-08-01)
We present continuation results for operators between locally convex linear topological spaces. These results will then be applied to obtain existence principles for differential equations on semi-infinite intervals.
Global existence for nonlinear operator inclusions
(Elsevier BV, 1999-12-01)
Discrete systems on infinite intervals
(Elsevier BV, 1998-05-01)
We study superlinear boundary value problems for a discrete system which in particular includes the prototype equation x(k + 1) = f(k,x(k)), equations with finite as well as infinite delays, equations of neutral type, and ...
A fixed-point approach for nonlinear discrete boundary value problems
(Elsevier BV, 1998-11-01)
Continuation methods for closed, weakly closed, dkt, and wdkt maps
(Elsevier BV, 1999-10-01)
Existence of solutions to singular integral equations
(Elsevier BV, 1999-05-01)