Compression-expansion fixed point theorems in two norms
AbstractIn this paper we present compression-expansion fixed point theorems in cones where the compression and the expansion conditions are expressed…
not-at-ICTP
Boundary value problems arising in the percolation of water from a cylindrical reservoir into the surrounding soil
Abstract Existence results are established for a general class of second-order boundary value problems motivated from a problem arising in…
Compression-expansion fixed point theorem in two norms and applications
Abstract In this paper we present a two-norms version of Krasnoselskii’s fixed point theorem in cones. The abstract result is…
Existence theory for nonlinear operator equations of Hammerstein type in Banach spaces
AbstractWe use topological methods to develop an existence theory for nonlinear operator equations of Hammerstein type in Banach spaces. In…
Positive solutions of evolution operator equations
AbstractExistence and localization results are derived from Krasnoselskii’s compressionexpansion fixed point theorem in cones, for operator equations in spaces of…
Nonnegative solutions of nonlinear integral equations in ordered Banach spaces
AbstractThe main purpose of this paper is to make Krasnoselskii’s compression-expansion fixed point theorem applicable to nonlinear integral equations in…
A note on the solvability of the nonlinear wave equation
AbstractNew existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem.…
Continuation theory for general contractions in gauge spaces
AbstractA continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy…
On the continuation principle for nonexpansive maps
Abstract In this note the continuation principle (nonlinear alternative) for nonexpansive maps on Hilbert spaces (see [5]) in extended in…
Monotone technique to the initial values problem for a delay integral equation from biomathematics
Abstract We present a constructive method for solving (1)-(2) under hypotheses (i)-(iv) by assuming that function \(f(t,x)\) is monotone with…