A complete asymptotic expansion for the quasi-interpolants of Gauss–Weierstrass operators
Abstract We derive the complete asymptotic expansion for the quasiinterpolants of Gauss Weierstrass operators \(W_{n}\) and their left quasi interpolants…
2018
Approximation with arbitrary order by certain linear positive operators
Abstract This paper aims to highlight classes of linear positive operators of discrete and integral type for which the rates…
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…
Theoretical models of hematopoietic cell dynamics related to bone marrow transplantation
AbstractThis review article presents some mathematical models of hematopoietic cell dynamics related to bone marrow transplantation. Both allogeneic and autologous…
Hybrid delay evolution systems with nonlinear constraints
AbstractMotivated by the importance of reaction-diffusion systems in modeling real processes with memory, we are interested in the existence of…
Multiple positive solutions to a (2m)th-order boundary value problem
AbstractThe aim of the present paper is to study the existence, localization and multiplicity of positive solutions for a (2m)th-order…
A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems
AbstractThe localization of a critical point of minimum type of a smooth functional is obtained in a bounded convex conical…
Analysis of a planar differential system arising from hematology
AbstractA complete analysis of a planar dynamic system arising from hematology is provided to confirm the conclusions of computer simulations.…
Theory and computation for multiple positive solutions of non-local problems at resonance
AbstractResonance non-positone and non-isotone problems for first order differential systems subjected to non-local boundary conditions are reduced to the non-resonance…
Two abstract approaches in vectorial fixed point theory
AbstractIn this paper a fixed point theory is established for operators defined on Cartesian product spaces. Two abstract approaches are…