The combined Shepard operator of inverse quadratic and inverse multiquadric type
AbstractStarting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the…
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On some maximum problems of Stieltjes
Abstract AuthorsTiberiu Popoviciu Keywords? Paper coordinatesT. Popoviciu, Sur certaines problèmes de maximum de Stieltjes, Bull. Math. de la Soc. Roum.…
Positive solutions for discontinuous problems with applications to ϕ-Laplacian equations
Abstract We establish existence and localization of positive solutions for general discontinuous problems for which a Harnack-type inequality holds. In…
A Granas type approach to some continuation theorems and periodic boundary value problems with impulse
Abstract In this paper we study periodic solutions of a second order differential equation \[ x^{\prime\prime} = f(t, x, x^{\prime})…
Behavior properties and ordinary differential equations
Abstract The goal of this paper is to discuss the implications of the behavior properties from classical analysis (positivity, monotonicity,…
On the method of upper and lower solutions
Abstract Some results concerning the method of upper and lower solutions for nonlinear integral equations of Hammerstein type are presented.…
Continuation method for contractive maps on spaces endowed with vector-valued metrics
Abstract A continuation result for contractive maps on spaces endowed with vector-valued metrics is established. AuthorsRadu Precup Department of Mathematics,…
Nontrivial solvability of Hammerstein integral equations in Hilbert spaces
Abstract In this note some well-known existence and multiplicity results of nontrivial solutions for scalar Hammerstein equations [1], [3] are…
Periodic solutions for an integral equation from biomathematics via Leray-Schauder principle
Abstract The paper deals with periodic solutions for an integral equation from biomathematics, via the Leray-Schauder principle. The results obtained…
Continuation principles for coincidences
Abstract The paper is devoted to the solvability of semilinear operator equations in Banach spaces, via continuation methods. Instead of…