Results 21 to 30 of about 68,998,005 (164)
Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
Abstract and Applied Analysis, 2010 This paper develops some new Razumikhin-type theorems on global exponential stability of impulsive functional differential equations. Some applications are given to impulsive delay differential equations.
Shiguo Peng, Liping Yang
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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractIn the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.
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Finite Horizon Impulse control of Stochastic Functional Differential Equations
SIAM Journal on Control and Optimization, 2023 In this work we show that one can solve a finite horizon non-Markovian impulse control problem with control dependant dynamics. This dynamic satisfies certain functional Lipschitz conditions and is path dependent in such a way that the resulting trajectory becomes a flow.
Johan Jönsson, Magnus Perninge
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Advances in Difference Equations, 2009 By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses
Yongkun Li, Meng Hu
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Oscillations of Higher Order Functional Differential Equations with Impulses [PDF]
gmj, 2006 Abstract A kind of higher order sub-and super-linear FDE with impulses is studied in this paper. Several criteria on the oscillations of solutions are given. In particular, in the case where the coefficients of equations are positive and continuous functions, we find some suitable impulse functions such that all solutions of the equation
Zhang, Chaolong, Feng, Weizhen
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Stability of functional differential equations with impulses
Journal of Mathematical Analysis and Applications, 2007 The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results.
Liu, Kaien, Fu, Xilin
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, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Snezhana Hristova +3 more
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New comparison results for impulsive functional differential equations
Applied Mathematics Letters, 2010 The authors obtain sufficient conditions for the solution of the periodic boundary value problem to be negative. To solve this problem they compare solutions of differential equations and differential inequalities.
Jianli Li, Jianhua Shen
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MultiPoint BVPs for Second‐Order Functional Differential Equations with Impulses [PDF]
Mathematical Problems in Engineering, 2009 This paper is concerned about the existence of extreme solutions of multipoint boundary value problem for a class of second‐order impulsive functional differential equations. We introduce a new concept of lower and upper solutions. Then, by using the method of upper and lower solutions introduced and monotone iterative technique, we obtain the ...
Yang, Xuxin, He, Zhimin, Shen, Jianhua
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, 2020 Nonlinear scalar Riemann-Liouville fractional differential equations with a constant delay and impulses are studied and initial conditions and impulsive conditions are set up in an appropriate way.
Snezhana Hristova +2 more
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