[PDF] Top 20 Variational approach to impulsive differential system
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Variational approach to impulsive differential system
... For a second order differential equation u = f (t, u, u ), one usually considers, as impul- sive, the position u and the velocity u . However, in the motion of spacecraft one has to deal with instantaneous impulses ... See full document
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EXISTENCE OF THREE SOLUTIONS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL SYSTEMS THROUGH VARIATIONAL METHODS
... coupled system of differential equations of fractional order is also important and several authors have done a lot of work in this ...on variational methods for smooth functionals defined on ... See full document
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Multiplicity of solutions to a four-point boundary value problem of a differential system via variational approach
... The variational approach, together with the critical point theory, is one of the important methods in the study of two-point boundary value problems of ordinary differential equa- tion [–], as well as ... See full document
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Optimal Control Methods and the Variational Approach to Differential Equations
... control variational method to variational inequalities associated to the general linear elasticity system (for isotropic materials) are discussed in [14], ...elasticity system by using just ... See full document
6
Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods
... Our approach is based on the well-known mountain pass theorem and minimax methods in critical ...the impulsive effects and p-Laplacian operator taken into consideration, the correspond- ing ... See full document
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Variational approach to second-order impulsive dynamic equations on time scales
... of impulsive dynamic equations on time scales, such as the method of lower and upper solutions, fixed-point theory ...new approach in the study of dynamic equations on time scales: the use of ... See full document
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Multiplicity of solutions for impulsive differential equation on the half-line via variational methods
... hand, impulsive differential equations have been widely applied in biology, control theory, industrial robotics, medicine, population dynamics and so on; see ...of impulsive differential equations, we refer ... See full document
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A unified approach to nonlocal impulsive differential equations with the measure of noncompactness
... This paper is organized as follows. In Section , we present some concepts and facts about the strongly continuous semigroup and the measure of noncompactness. In Sec- tion , we give four existence theorems of the ... See full document
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Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations
... The relationship between physical quantities and their rate of changes is named a sys- tem of differential equations. Integral and integro-differential equations with fuzzy primal conditions have led to many practical ... See full document
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Variational approach to a class of impulsive differential equations
... of impulsive differential equations has been emerging as an important area of investigation in recent years ...the variational ap- proach to an impulsive differential equation; therefore, there was no ... See full document
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Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions
... Impulsive effects exist widely in many evolution processes in which their states are changed abruptly at certain moments of time. Such processes are naturally seen in control theory 1, 2, population dynamics 3, and ... See full document
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On Lp(k) equivalence of impulsive differential equations and its applications to partial impulsive differential equations
... partial impulsive differen- tial ...ordinary impulsive differential equations with an unbounded linear operator and show that they satisfy the conditions of Theo- rem ... See full document
12
Impulsive differential and impulsive integral inequalities with integral jump conditions
... Impulsive differential and impulsive integral inequalities play an important role in the study of the theory of impulsive differential equations (see ...used impulsive ... See full document
11
Variational Method to the Impulsive Equation with Neumann Boundary Conditions
... X, then u is absolutely continuous and u ∈ L 2 0, 1. In this case, the one-side derivatives u 0 , u 1 − , u t k , u t − k , k 1, 2, . . . , p − 1 may not exist. As a consequence, we need to introduce a different concept ... See full document
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Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument
... If x(n) < 0,x(n – 1) < 0, and x(n – 2) < 0 for n > N, then we obtain the same contradiction. So the component x(n) of the solution (x(n), y(n)) is oscillatory. Similarly, we can show that the component y(n) ... See full document
11
Trajectory Controllability of Semilinear Differential Evolution Equations with Impulses and Delay
... The impulsive differential systems originate from the real world problems to describe the dynamics of proc- esses in which sudden, discontinuous jumps ...pulsive differential equations have become ... See full document
7
Existence of integro differential solutions for a class of abstract partial impulsive differential equations
... of impulsive differ- ential equations, for instance, biological systems, electrical engineering, chemical reac- tions, among others can be modeled by impulsive differential equations, a good survey ... See full document
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Local existence for an impulsive fractional neutral integro differential system with Riemann–Liouville fractional derivatives in a Banach space
... an impulsive fractional neu- tral integro-differential system with Riemann–Liouville fractional derivatives in a Ba- nach ...the impulsive fractional neutral integro-differential system in a ... See full document
26
Global analysis of a new nonlinear stochastic differential competition system with impulsive effect
... deterministic impulsive chemostat model and obtain the threshold between persistence and extinction for the ...of impulsive stochastic differential equations, we obtain conditions for the extinction and ... See full document
19
Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters
... coupled system (1), it is chal- lenging to deal with the existence of multiple PSs for BVPs ...coupled system by constructing the associated Green’s ... See full document
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