Results 1 to 10 of about 459,648 (135)
Functional differential equations [PDF]
Functional class of differential-difference, retard differential, and difference ...
Hale, J. K.
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Mathematics, 2023 Cauchy problems are considered for families of, generally speaking, non-Volterra functional differential equations of the second order. For each family considered, in terms of the parameters of this family, necessary and sufficient conditions for the ...
Eugene Bravyi
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Nonoscillatory functional-differential equations [PDF]
Pacific Journal of Mathematics, 1984 Our aim in this paper is to obtain sufficient conditions under which certain functional differential equations have a " large" number of nonoscillatory solutions. Using the characteristic equation of a "majorant" delay differential equation with constant coefficients and Schauder's fixed point theorem, we obtain conditions under which the functional ...
Ladas, G. +2 more
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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Differential equations for algebraic functions [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions. We show that the linear differential equation of minimal order has coefficients whose degree is cubic in the degree of the function.
Bostan, Alin +4 more
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Some Economic Dynamics Problems for Hybrid Models with Aftereffect
Mathematics, 2020 In this paper, we consider a class of economic dynamics models in the form of linear functional differential systems with continuous and discrete times (hybrid models) that covers many kinds of dynamic models with aftereffect.
Eugene Bravyi +2 more
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Analysis of stochastic neutral fractional functional differential equations
Boundary Value Problems, 2022 This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani +3 more
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Note on oscillation conditions for first-order delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider explicit conditions for all solutions to linear scalar differential equations with several variable delays to be oscillatory. The considered conditions have the form of inequalities bounding the upper limit of the sum of integrals of ...
Kirill Chudinov
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On oscillation of solutions of differential equations with distributed delay
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We obtain sufficient conditions for oscillation of solutions to a linear differential equation with distributed delay. We construct examples showing that constants in the conditions are unimprovable.
Vera Malygina, Tatyana Sabatulina
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 We present necessary and sufficient conditions for the nonoscillation of the fundamental solutions to a linear autonomous differential equation with distributed delay. The conditions are proposed in both the analytic and geometric forms.
Tatyana Sabatulina, Vera Malygina
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