The uniqueness of positive solution for a class of singular fractional differential system with integral boundary conditions is considered in this paper and many types of equation system are contained in this equation system because there are many parameters which can be changeable in this equation system. The fractional orders are involved in the nonlinearity of the boundary value problem and ...

Abstract We prove that the Dirichlet problem for Lane–Emden equation in a half-space has no positive solution is monotone normal direction. As consequence, this does not admit any classical bounded on finite strips. This question long history and our result solves long-standing open problem. Such nonexistence was previously available only solutions or under restriction power nonlinearity. The e...

We consider a prospect theoretic version of the classical Q-learning algorithm for discounted reward Markov decision processes, wherein controller perceives distorted and noisy future reward, modeled by nonlinearity that accentuates gains under-represents losses relative to reference point. analyze asymptotic behavior scheme analyzing its limiting differential equation using theory monotone dyn...

Equilibrium problems have many uses in optimization theory and convex analysis and which is why different methods are presented for solving equilibrium problems in different spaces, such as Hilbert spaces and Banach spaces. The purpose of this paper is to provide a method for obtaining a solution to the equilibrium problem in Banach spaces. In fact, we consider a hybrid proximal point algorithm...

The aim of this work is to characterize Traveling Waves (TW) solutions for a coupled system with KPP-Fisher nonlinearity and weak advection. heterogeneous diffusion introduces certain instabilities in the TW heteroclinic connections that are explored. In addition, advection reflects existence critical combined speed which purely monotone. This study follows analytical techniques together numeri...

We give an algorithm, based on the φ-expansion of Parry, in order to compute the topological entropy of a class of shift spaces. The idea is to solve an inverse problem for the dynamical systems βx + α mod 1. The first part is an exposition of the φ-expansion applied to piecewise monotone dynamical systems. We formulate for the validity of the φ-expansion, necessary and sufficient conditions, w...

Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work, error estimates for Galerkin POD methods for linear elliptic, parameter-dependent systems are proved. The resulting error bounds depend on the number of POD basis functi...

This paper is devoted to the study of periodic boundary value problems for nonlinear third order di¤erential equations subjected to impulsive e¤ects. We provide su¢ cient conditions on the nonlinearity and the impulse functions that guarantee the existence of at least one solution. Our approach is based on a priori estimates, the method of upper and lower solutions combined with an iterative te...