[PDF] Top 20 Impulsive quantum difference systems with boundary conditions

... Impulsive differential equations serve as basic models to study the dynamics of processes that are subject to sudden changes in their states. The recent development in this field has been motivated by many applied ... See full document

... Impulsive boundary value problems (BVPs) corresponding to integer order differential equations with impulsive conditions have been considered extensively in the literature, but in the case of ... See full document

... of systems and processes in the fields of physics, chemistry, aero- dynamics, electrodynamics of complex medium, polymer rheology, and they have been emerging as an important area of investigation in the last few ... See full document

... finite difference equations corresponding to a class of periodic- parabolic systems with time delays and with nonlinear boundary conditions in a bounded domain is ...finite difference ... See full document

... obtain conditions for the existence and multiplicity of positive solutions of system ...of impulsive differential systems with indefinite weight and integral boundary conditions have been ... See full document

... dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution ...the impulsive differential ...for impulsive boundary value ...of ... See full document

... the quantum-mechanical side, there has been a surge of renewed interest in the escape properties of few-particle systems [2–9], in connection with recent advances in exper- imental control and manipulation ... See full document

... The quantum calculus is known as the calculus without limits and provides a descent approach to deal with sets of nondifferentiable functions by considering difference opera- ...tors. Quantum difference ... See full document

... (1.2). Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, biotechnology, pharmacokinetics, industrial robotics, and so ... See full document

... a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter with spectral singularities was first studied ... See full document

... biological systems, biotechnology, industrial robotic, pharmacokinetics, optimal control, ...of impulsive differential equations has gained prominence and it is a rapidly growing field; see [–] and the ... See full document

... Impulsive differential equations serve as basic models to study the dynamics of processes that are subject to sudden changes in their states. Recent development in this field has been motivated by many applied ... See full document

... of boundary value problems for impulsive Caputo type fractional Hahn difference equations, by using the Banach contraction mapping principle and the nonlinear alternative of ... See full document

... The quantum calculus (calculus without limits or q-calculus) is concerned with differ- ence operators and allows one to deal with sets of nondifferentiable ...functions. Quantum difference operators appear in ... See full document

... We investigate solutions to nonlinear operator equations which are difficult to investigate with variational methods and obtain some abstract existence results by topology degree methods. These results apply to ordinary ... See full document

... techniques of nonlinear analysis, a large number of results concerning the existence and multiplicity of solutions (or positive solutions) of nonlinear fractional differential equa- tions can be found in the literature, ... See full document

... Sufficient conditions are obtained for the uniform stability and global attractivity of the zero solution of nonlinear scalar delay impulsive difference equation, which extend and improve the known results in ... See full document

... On the other hand, in the last few years, some researchers have used variational methods to study the existence of solutions for boundary value problems 10–16, especially, in 14–16, the authors have studied the ... See full document

... In this paper we establish the existence and uniqueness of solutions for impulsive fractional boundary-value problems with fractional integral jump conditions. By using a variety of fixed-point ... See full document

... Note also, that [10] touches upon if or not quantum mechanics is part of a determi- nistic set up, which would have immediate consequences as to Equation (3). References [11] [12] as to higher dimensions, should ... See full document