Results 121 to 130 of about 502,735 (301)

A hybrid technique for approximating the solution of fractional order integro differential equations

open access: yesPartial 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
doaj  

Integro-differential equation with Cauchy kernel

open access: yesJournal 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.
openaire   +2 more sources

ON STABILITY OF A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS [PDF]

open access: yesTaiwanese 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.
openaire   +2 more sources

First Passage Time of Filtered Poisson Process with Exponential Shape Function [PDF]

open access: yes
Solving some integro-differential equation we find the Laplace transformation of the first passage time for Filtered Poisson Process generated by pulses with uniform or exponential distributions.
Alexander Novikov   +3 more
core  

Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations

open access: yesElectronic 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
doaj   +1 more source

Oscillations of linear integro-differential equations

open access: yesOpen Mathematics, 2005
Abstract Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.
Rudolf Olach, Helena Šamajová
openaire   +3 more sources

Hopf bifurcation of integro-differential equations

open access: yesProceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations (August 10--14, 1999, Szeged, Hungary) edited by: Géza Makay and László Hatvani, 1999
A method reducing integro-differential equations (IDEs) to system of ordinary ones is proposed. On this base stability and bifurcation phenomena in critical cases are studied. Analog of Hopf bifurcation for scalar IDEs of first order is obtained. Conditions of periodic solution existence are proposed.
Alexander Domoshnitsky, Yakov Goltser
openaire   +3 more sources

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