A method of lower and upper solutions for control problems and application to a model of bone marrow transplantation
Abstract A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is…
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Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
Abstract In this paper, we are concerned with positive solutions for the Dirichlet boundary value problem for equations and systems…
Linking Methods for Componentwise Variational Systems
Abstract The paper deals with the equilibrium solutions of two-equation systems in which each component equation has a variational structure.…
Existence Results for Some Functional Integrodifferential Equations with State-Dependent Delay
Abstract In this work, we establish sufficient conditions for the existence of solutions for some functional integrodifferential equations with state-dependent…
Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems
Abstract The paper deals with fractional optimization problems where the objective function (ratio of two functions) is defined on a…
The strict superlinear order can be faster than the infinite order
Abstract The strict superlinear order (superlinear convergence) was usually regarded as having an intermediate speed between between linear and with…
Nash equilibria for componentwise variational systems
Abstract In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of…
On Ulam stability of a partial differential operator in Banach spaces
Abstract In this paper, we prove that, if \(\inf \limits_{x\in A}\left \vert f\left(x\right) \right \vert =m>0\), then the partial differential…
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems
Abstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in…
Localization of solutions for semilinear problems with poly-Laplace type operators
Abstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…