Periodic solutions of superlinear impulsive differential systems
AbstractWe develop continuation technique to obtain periodic solutions for superlinear planar differential systems of first order with impulses. Our approach…
not-at-ICTP
Analysis of some neutral delay differential equations
Abstract The paper is devoted to the study of the neutral differential equation with delay \(x^{\prime}(t)=f(t,x\left( t\right) ,(\theta \left(t\right) ),x^{\prime}(\theta…
Monotone approximation for an integral equation modeling infectious disease
Abstract Monotone technique is used to approximate the periodic solutions of a delay integral equation modeling epidemics and population growth.…
Existence and approximation of positive fixed points of nonexpansive maps
Abstract ?? AuthorsRadu Precup Faculthy of Mathematics and Computer Science “Babes-Bolyai” University, Cluj-Napoca, Romania KeywordsPaper coordinatesR. Precup, Existence and approximation…
Existence theorems for nonlinear problems by continuation methods
Abstract Continuation methods of Leray-Schauder type represent an important tool in the theory of differential and integral equations. Roughly speaking,…
Continuation theorems for maps of Caristi type
AbstractIn this paper we prove some continuation theorems for mappings of Caristi type. Our results generalize Caristi’s fixed point theorem…
On some fixed point theorems of Deimling
Abstract?? AuthorsRadu Precup Babeş-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania KeywordsFixed point in cones; α-a-set contractions; weak inwardness; continuation theorem;…
On the reverse of the Krasnoselskii-Browder boundary inequality
Abstract Let \(G\) be a bounded open subset of a Banach space \(X\) with \(0\in G\) and let \(f\) be…
On the topological transversality principle
Abstract We propose a generalization of the topological transversality theorem of Granas [1] (see also [2]). We show the implication…
Note on an abstract continuation theorem
AbstractThe author shows that one may derive the property of homotopy invariance for the fixed point index (for compact maps…