Positive solutions and continuous branches for boundary-value problems of differential inclusions.
Positive solutions for a class of non-autonomous second order difference equations via a new functional fixed point theorem
In this paper, by using recent results on fixed point index, we develop a new fixed point theorem of functional type for the sum of two operators where is Lipschitz invertible and a -set contraction. This fixed point theorem is then used to establish a new result on the existence of positive solutions to a non-autonomous second order difference equation.
Positive solutions for singular -Laplacian BVPs on the positive half-line.
Positive solutions of some nonlocal boundary value problems.
Positive solutions of some quasi-linear elliptic problems
Positive solutions of some three-point boundary value problems via fixed point index for weakly inward -proper maps.
Practical Ulam-Hyers-Rassias stability for nonlinear equations
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear equations...
Preface
Problèmes aux limites non linéaires, non coercifs
Projection iterative approximations for a new class of general random implicit quasi-variational inequalities.
Projections contractantes dans les espaces de Banach
Prolongement d'applications lipschitziennes et de semi-groupes de contractions
Properness and topological degree for general elliptic operators.
Properness and topological degree for nonlocal reaction-diffusion operators.
Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text {curl}$ systems
In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$. We prove that if $A$ is a quasi-uniformly monotone and hemi-continuous operator, then $A^{-1}$ is strictly monotone, bounded and continuous, and thus the Galerkin approximations converge. Also we show an application of a quasi-uniformly monotone and hemi-continuous operator to the proof of the well-posedness and convergence...
Properties of attainable sets of evolution inclusions and control systems of subdifferential type.
Properties of fixed point set of a multivalued map.
Properties of generalized set-valued stochastic integrals
The paper is devoted to properties of generalized set-valued stochastic integrals defined in [10]. These integrals generalize set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4]. Up to now we were not able to construct any example of set-valued stochastic processes, different on a singleton, having integrably bounded set-valued integrals defined in [4]. It was shown by M. Michta (see [11]) that in the general case set-valued stochastic integrals defined by E.J. Jung...
Properties of solutions to second order evolution control systems. I.
Properties of solutions to second order evolution control systems. II.