Results 11 to 20 of about 428,756 (295)
Hyers–Ulam stability of linear functional differential equations
Journal of Mathematical Analysis and Applications, 2015 Dealing with delay differential equations of the form \[ y^{(n)}(t)=g(t)\,y(t-\tau)+h(t)\text{ \;on \;}[0,b] \] where \(\tau>0\), the notion of Hyers-Ulan stability is first introduced and then investigated via different methods. Popular approachs, such as, iteraction method and fixed point method, are used to obtain the stability results.
Jinghao Huang, Yongjin Li
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On exponential stability of linear non-autonomous functional differential equations of neutral type [PDF]
International Journal of Control, 2017 © 2016 Informa UK Limited, trading as Taylor & Francis Group. General linear non-autonomous functional differential equations of neutral type are considered.
Ha, Q, Ngoc, PHA
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Input-to-State Stability of Linear Stochastic Functional Differential Equations
Journal of Function Spaces, 2016 The purpose of the paper is to show how asymptotic properties, first of all stochastic Lyapunov stability, of linear stochastic functional differential equations can be studied via the property of solvability of the equation in certain pairs of spaces of
Ramazan Kadiev, Arcady Ponosov
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On periods of non-constant solutions to functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We show that periods of solutions to Lipschitz functional differential equations cannot be too small. The problem on such periods is closely related to the unique solvability of the periodic value problem for linear functional differential equations ...
Eugene Bravyi
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On the Reduction of Singularly-Perturbed Linear Differential Systems [PDF]
, 2014 In this article, we recover singularly-perturbed linear differential systems from their turning points and reduce the rank of the singularity in the parameter to its minimal integer value.
Abbas, Hassan +2 more
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Second Order Almost Linear Functional Differential Equations--Oscillation [PDF]
Proceedings of the American Mathematical Society, 1972 It is shown that all solutions of certain second order nonlinear functional differential equations are oscillatory if all solutions of an associated minorizing linear equation are oscillatory.
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On linear singular functional-differential equations in one functional space
Abstract and Applied Analysis, 2004 We use a special space of integrable functions for studying the Cauchy problem for linear functional-differential equations with nonintegrable singularities. We use the ideas developed by Azbelev and his students (1995).
Andrei Shindiapin
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Electronic Journal of Qualitative Theory of Differential Equations, 2012 Some general conditions sufficient for unique solvability of the boundary-value problem for a system of linear functional differential equations of the second order are established.
Natalia Dilna
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CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT
Ural Mathematical Journal, 2023 For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used.
Yuri F. Dolgii
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Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]
, 2004 A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions.
Abraham +16 more
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