A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators4 years agoAbstract 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 sets4 years agoAbstractIn 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 approach4 years agoAbstractEven 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 problems4 years agoAbstract 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 problems4 years agoAbstractThe 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 conditions4 years agoAbstractThe 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 leukemia4 years agoAbstractA 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 spaces4 years agoAbstractStarting from some classical results of R. Conti, A. Haimovici and K. Iseki, and from a more recent result of…
Positive periodic solutions for Lotka-Volterra systems with a general attack rate4 years agoAbstractThe paper deals with a non-autonomous Lotka–Volterra type system, which in particular may include logistic growth of the prey population and…
Localization and multiplicity in the homogenization of nonlinear problems4 years agoAbstractWe propose a method for the localization of solutions for a class of nonlinear problems arising in the homogenization theory.…