Electronic Journal of Qualitative Theory of Differential Equations, 2000 The spectral set of an operator which is associated with linear autonomous functional differential equations is determined. The consequence is applied to study the admissibility of linear autonomous functional differential equations for the function ...
Satoru Murakami +2 more
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Distributional and entire solutions of linear functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1982 A unified approach to the study of generalized-function and entire solutions to linear functional differential equations with polynomial coefficients is suggested.
Joseph Wiener
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Oscillation of even order linear functional differential equations with mixed deviating arguments [PDF]
Opuscula Mathematica, 2022 In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e.
Blanka Baculikova
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Tensor Products, Positive Linear Operators, and Delay-Differential Equations [PDF]
, 2012 We develop the theory of compound functional differential equations, which are tensor and exterior products of linear functional differential equations. Of particular interest is the equation $\dot x(t)=-\alpha(t)x(t)-\beta(t)x(t-1)$ with a single delay,
Mallet-Paret, John, Nussbaum, Roger D.
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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2023 This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi +2 more
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The periodic problem for the second order integro-differential equations with distributed deviation [PDF]
Mathematica Bohemica, 2021 We study the question of the unique solvability of the periodic type problem for the second order linear integro-differential equation with distributed argument deviation u"(t)=p_0(t)u(t)+\int_0^{\omega}p(t,s)u(\tau(t,s)) {\rm d}s+ q(t), and ...
Sulkhan Mukhigulashvili +1 more
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Recursive Graphical Construction of Feynman Diagrams in phi^4 Theory: Asymmetric Case and Effective Energy [PDF]
, 1999 The free energy of a multi-component scalar field theory is considered as a functional W[G,J] of the free correlation function G and an external current J.
A. N. Vasilev +15 more
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Oscillation Criteria for Advanced Half-Linear Differential Equations of Second Order
Mathematics, 2023 In this paper, we find new oscillation criteria for second-order advanced functional half-linear differential equations. Our results extend and improve recent criteria for the same equations established previously by several authors and cover the ...
Taher S. Hassan +2 more
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An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations
Games, 2021 This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are
Alexander Arguchintsev +1 more
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Six-vertex model and non-linear differential equations I. Spectral problem
, 2017 In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations.
Galleas, W.
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