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Componentwise compression-expansion conditions for systems of nonlinear operator equations and applications

4 years ago

AbstractA Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions…

Compression-expansion critical point theory in conical shells

4 years ago

AbstractA Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions…

Theoretical models of hematopoietic cell dynamics related to bone marrow transplantation

4 years ago

AbstractThis review article presents some mathematical models of hematopoietic cell dynamics related to bone marrow transplantation. Both allogeneic and autologous…

A variational analogue of Krasnoselskii’s cone fixed point theory

4 years ago

AbstractBased on Ekeland’s principle, a variational analogue of Krasnoselskii’s cone compression-expansion fixed point theorem is presented. A general scheme of…

Componentwise localization of critical points for functionals defined on product spaces

4 years ago

AbstractA new notion of linking is introduced to treat minima as minimax points in a unitary way. Critical points are…

Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration

4 years ago

AbstractA complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of…

Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains

4 years ago

AbstractUsing an operator approach, we discuss stationary solutions to Fokker-Planck equations and systems with nonlinear reaction terms. The existence of…

Positive solutions for second-order differential equations of Kirchhoff type on the half-line

4 years ago

AbstractThe aim of the present paper is to study the existence of nontrivial nonnegative solutions for asecond-order boundary value problem…

A unified variational approach to discontinuous differential equations

4 years ago

AbstractA direct variational technique involving Clarke generalized gradient is used to treat general boundary value problems with discontinuous nonlinearities. Based…

Implicit elliptic equations via Krasnoselskii-Schaefer type theorems

4 years ago

AbstractExistence of solutions to the Dirichlet problem for implicit elliptic equations is established by using Krasnoselskii–Schaefer type theorems owed to…

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