Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration
AbstractA complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of…
not-at-ICTP
Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains
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
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
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
AbstractExistence of solutions to the Dirichlet problem for implicit elliptic equations is established by using Krasnoselskii–Schaefer type theorems owed to…
A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators
Abstract In this work, we establish a vector version of fixed point theorem of cone compression and expansion for an…
Krasnosel’skii type compression-expansion fixed point theorem for set contractions and star convex sets
AbstractIn this paper, we give or improve compression-expansion results for set contractions in conical domains determined by balls or star…
Theoretical basis of optimal therapy for individual patients in chronic myeloid leukemia: A mathematical approach
AbstractEven if the successful pharmacological therapy for chronic myeloid leukemia has reached today a near normal life expectancy in a…
Fixed point index theory for decomposable multivalued maps and applications to φ-Laplacian problems
Abstract In this paper, we develop a fixed point index theory for decomposable multivalued maps, that is, compositions of two…
Harnack type inequalities and multiple solutions in cones of nonlinear problems
AbstractThe paper presents an abstract theory regarding operator equations and systems in ordered Banach spaces. We obtain existence, localization and…