Исследование затухания решений уравнения Макки ‒ Гласса с импульсным воздействием [PDF]
Розглядається функціонально-диференціальне рівняння Маккіа – Гласса із змінними коефіцієнтами, непостійним запізнюванням і імпульсною дією. Одержано умови згасання позитивних розв'язків даного рівняння.We consider a functional-differential Mackey ...
Nenya, Oleksandr Ivanovich +2 more
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Spreading Speed, Traveling Waves, and Minimal Domain Size in\ud Impulsive Reaction-diffusion Models [PDF]
, 2012 How growth, mortality, and dispersal in a species affect the species’ spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct reproductive and dispersal ...
Lewis, M. A., Li, B.
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p-Moment stability of functional differential equations with random impulses
Computers & Mathematics with Applications, 2006 Functional differential equations with random impulses \[ x'(t)= f(t, x_t),\;t\geq t_0,\;t\neq\xi_k,\;x(\xi_k)= I(\tau_k, x(\xi^-_k)),\;k= 1,2,\dots, x_{t_0}= \varphi\tag{1} \] are considered. The following stability conditions were obtained by using Lyapunov's method with Razumikhin condition. Theorem. Let \(x(t)\) be a solution of system (1) and \(p>
Shujin Wu, Xiaolin Guo, Yong Zhou
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Contact transformations and the theory of optimal control [PDF]
Contact transformation of independent and dependent variables of Hamilton-Jacobi ...
Dezur, R. S., Haynes, G. W.
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Distributions with dynamic test functions and multiplication by discontinuous functions
, 2006 As follows from the Schwartz Impossibility Theorem, multiplication of two distributions is in general impossible. Nevertheless, often one needs to multiply a distribution by a discontinuous function, not by an arbitrary distribution. In the present paper
Derr, V., Kinzebulatov, D.
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Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations [PDF]
, 2010 Kexue Zhang, Xinzhi Liu
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Impulsive functional differential equations with variable times
Computers & Mathematics with Applications, 2004 The authors investigate the existence of solutions to a first-order retarded functional-differential equation with impulses. The case including higher-order equations and studied by the same authors can be found in [Dyn. Syst. Appl. 12, No. 3--4, 383--392 (2003; Zbl 1073.34092)].
Benchohra, M. +3 more
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Development of a method for optimal maneuver analysis of complex space missions [PDF]
A system that allows mission planners to find optimal multiple-burn space trajectories easily is described. Previously developed methods with different gravity assumptions perform the optimization function.
Dawkins, G. S. +2 more
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FURTHER RESULTS ON POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS [PDF]
, 2009 Yuji Liu
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Faedo-Galerkin approximation technique to non-instantaneous impulsive abstract functional differential equations [PDF]
, 2023 Shahin Ansari, Muslim Malik
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