Discussion of a Wiener-Hopf type integro-differential equation [PDF]
, 1957 J. A. Sparenberg +2 more
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Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper is concerned with a non-autonomous impulsive neutral integro-differential equation with time-varying delays. We establish a novel singular delay integro-differential inequality, which enables us to derive several sufficient criteria on the ...
Bing Li
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Direct integral method, complete discrimination system for polynomial and applications to classifications of all single traveling wave solutions to nonlinear differential equations:a survey [PDF]
arXiv, 2006 Complete discrimination system for polynomial and direct integral method were discussed systematically. In particularly, we pointed out some mistaken viewpoints. Combining with complete discrimination system for polynomial, direct integral method was developed to become a powerful method and was applied to a lot of nonlinear mathematical physics ...
arxiv
The notion of the Green’s function in the theory of integro-differential equations [PDF]
, 1927 J. D. Tamarkin
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Integro-differential equation with Cauchy kernel
Journal of Computational and Applied Mathematics, 2001 AbstractIn this work, we present a Galerkin approach for solving the linear integro-differential equation of the second kind with Cauchy kernel. We use the orthogonal basis functions Legendre polynomials of the first and of the second kind.
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A hybrid technique for approximating the solution of fractional order integro differential equations
Partial Differential Equations in Applied Mathematics, 2023 In this article, we present an effective approach for solving nonlinear fractional order integro-differential equations. The fractional order derivative will be in the Caputo sense.
Noor A. Abdulhameed +2 more
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Function bounds for solutions of Volterra integro dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2010 Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases $\mathbb{T}=\mathbb{R}$ and $\mathbb{T}=\mathbb{Z}$.
Murat Adıvar
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Symmetries of quantum Lax equations for the Painlevé equations [PDF]
arXiv, 2012 The Painlev\'e equations can be written as Hamiltonian systems with affine Weyl group symmetries. A canonical quantization of the Painlev\'e equations preserving the affine Weyl group symmetries has been studied. While, the Painlev\'e equations are isomonodromic equations for certain second-order linear differential equations.
arxiv
Book Review: Theory of Functionals and of Integral and Integro-differential Equations [PDF]
, 1932 Rudolph E. Langer
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ON STABILITY OF A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS [PDF]
Taiwanese Journal of Mathematics, 2013 We give some simple criteria for uniform asymptotic stability and exponential asymptotic stability of linear Volterra-Stieltjes differential equations. These criteria are given in terms of the matrix measure or the spectral abscissa of certain matrices derived from the coefficient matrices.
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