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…
not-at-ICTP
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…
Integrodifferential evolution systems with nonlocal initial conditions
AbstractThe paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the…
A mathematical model of the transition from the normal hematopoiesis to the chronic and acceleration-acute stages in myeloid leukemia
AbstractA mathematical model given by a two-dimensional differential system is introduced in order to understand the transition process from the…
On the approximation of fixed points for non-self mappings on metric spaces
AbstractStarting from some classical results of R. Conti, A. Haimovici and K. Iseki, and from a more recent result of…