A unified variational approach to discontinuous differential equations
AbstractA direct variational technique involving Clarke generalized gradient is used to treat general boundary value problems with discontinuous nonlinearities. Based…
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Energy-based localization and multiplicity of radially symmetric states for the stationary p-Laplace diffusion
AbstractIt is investigated the role of the state–dependent source–term for the localization by means of the kinetic energy of radially…
Positive solutions for discontinuous systems via a multivalued vector version of Krasnosel’skii’s fixed point theorem in cones
AbstractWe establish the existence of positive solutions for systems of second–order differential equations with discontinuous nonlinear terms. To this aim,…
Hahn decompositions of finitely additive measures
Abstract AuthorsȘtefan Cobzaș ”Tiberiu Popoviciu” Institute of Numerical Analysis, Cluj-Napoca, Romanian KeywordsPaper coordinatesȘt. Cobzaș, Hahn decompositions of finitely additive measures,…
A nonlinear periodic averanging principle
Abstract This paper is devoted to a nonlinear averaging principle for periodic solutions of a class of second order inclusions.…
Quasiconvex functions of higher order and the behavior of some nonlinear functionals
Abstract A result of T. Popoviciu, which characterizes real linear functionals on \(C(I)\) that are positive on n-convex functions as…
Measure of noncompactness and second order differential equations with deviating argument
AbstractWe study the existence and uniqueness of equations u′′(t)=f(t,u(t),u′(t),u(g₁(t)),…,u(g_{m}(t))) 1.1 u(t)=p(t),)t∈I╲intI,(1.2) in a Banach space. This problem is regarded as…
Convex functions of order \(n\) and \(P_n\)-simple functionals
Abstract A certain characterization of convex functions of order \(n\) on an interval \(I\) which are \((n+1)\) times differentiable on…
Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
Abstract ?? AuthorsRadu Precup ”Babeș-Bolyai” University Department of Mathematics, Cluj-Napoca, Romania Keywords? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1988-vol17-no1-art8/Precup Cite this paper as:R. Precup, Maximal pseudomonotonicity…
On some properties of K-monotone operators
Abstract ?? AuthorsRadu Precup Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1987-vol16-no1-art11/Precup Cite this paper as:R. Precup, On some properties of K-monotone operators, Anal. Numér. Théor.…