Impulsive Differential Equation
Existence and uniqueness of solutions for random impulsive differential equation
... This paper is organized as follows: Some preliminaries are presented in Section 2. In Section 3, we investigate the existence and uniqueness of solution of random impulsive differential equation by ...
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Triple solutions for a damped impulsive differential equation
... nonlinear impulsive problems neither adding superlinear or local sublinear conditions to nonlinear term at zero nor adding superlinear assumptions to nonlinear term at ...
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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 ...
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New results for perturbed second-order impulsive differential equation on the half-line
... By using a variational method and some critical points theorems, we establish some results on the multiplicity of solutions for second-order impulsive differential equation depending on two real parameters ...
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Philos-type oscillation criteria for second-order linear impulsive differential equation with damping
... short-term perturbations and experience abrupt changes at certain moments of time. By employing a generalized Riccati transformation technique, we derive several oscillation criteria which are either new or improve ...
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Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
... on the parameter λ. In consequence, our main results of the present work will be a use- ful contribution to the existing literature on the topic of impulsive Monge-Ampère type equations. The existence, uniqueness, ...
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Positive Solutions of th-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions
... of impulsive differential equations describes processes which experience a sudden change of their state at certain ...of impulsive differential equations, see Lakshmikantham et ...of impulsive ...
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Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods
... As an important research field of study, the impulsive differential equation has been at- tracting the attention of several mathematicians. In the early years, the main way to resolve this kind of problems is ...
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Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance
... In this paper, by using the coincidence degree theory and the upper and lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differential ...
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Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument
... where c is the death rate, and k is the horizontal transmission factor. Then, oscillation and stability of DEPCA have been studied by many authors (see [2–6] and the references therein). In 1994, Dai and Singh [7] ...
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Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation
... Let the impulse matrices Bi, 1,2,..., of equation 2.1 be nonsingular and let the subspace Y induce an ordinary dichotomy of the solutions of equation 2.1 on the interval [to, + c with a [r] ...
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Solutions to a boundary value problem of a fourth-order impulsive differential equation
... of impulsive differential equations include fixed point theorems, the upper and lower solutions method, the degree theory, critical point theory and variational ...
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Existence of solutions of a second order impulsive differential equation
... This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, ...
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Survey of Impulsive Differential Equations with Continuous Delay
... Given the impulsive differential equation with continuous delays defined in equation (1.2) subject to the initial function (1.4), the question of its qualitative properties becomes ...
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Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators
... as impulsive differential equation with fractional ...such differential equations, we refer to the monographs [12], [18], and papers [5], [6], [14], [17], [19], [21]-[22], and references given ...
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Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
... inhomogeneous equation as well as the homogeneous one, in the style of operational calculus in the framework of distribution ...homogeneous equation is attain- ...
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Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
... to impulsive fractional differential equations for antiperiodic boundary value problems with constant coefficients seem to be rarely ...differential equation with constant ...
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A Survey on Oscillation of Impulsive Ordinary Differential Equations
... It is well-known that Sturm comparison theory plays an important role in the study of qualitative properties of the solutions of both linear and nonlinear equations. The first paper on the Sturm theory of ...
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A note on stability of impulsive differential equations
... In Section , we introduce a new Ulam-type stability concept for equation () (see Defi- nition .). In Section , we mainly prove a generalized Ulam-Hyers-Rassias stability result for equation () on a ...
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Multiple solutions to impulsive differential equations
... Multiple solutions to impulsive differential equations Bao Advances in Difference Equations (2017) 2017 20 DOI 10 1186/s13662 017 1079 4 R E S E A R C H Open Access Multiple solutions to impulsive dif[.] ...
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