Results 31 to 40 of about 40,062 (237)

Stability of the spline collocation method for second order Volterra integro‐differential equations

open access: yesMathematical Modelling and Analysis, 2004
Numerical stability of the spline collocation method for the 2nd order Volterra integro‐differential equation is investigated and connection between this theory and corresponding theory for the 1st order Volterra integro‐differential equation is ...
M. Tarang
doaj   +1 more source

Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]

open access: yes, 2005
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core   +1 more source

Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2008
In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
doaj   +1 more source

Stability of an integro-differential equation

open access: yesComputers & Mathematics with Applications, 2009
AbstractIn this work we study a scalar integro-differential equation and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed-point theory. Our work extends and improves the results in the literature.
Chuhua Jin, Jiaowan Luo
openaire   +1 more source

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

On a three step crisis integro-differential equation

open access: yesAdvances in Difference Equations, 2019
One of the interesting fractional integro-differential equations is the three step crisis equation which has been reviewed recently. In this paper, we investigate the existence of solutions for a three step crisis fractional integro-differential equation
Dumitru Baleanu   +2 more
doaj   +1 more source

An integro-differential equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
The vector equation \[ x ′ ( t ) = A ( t ) x ( t ) + ∫ 0 t C ( t , s ) D ( x ( s ) )
openaire   +1 more source

Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution

open access: yes, 1997
Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential equations.
Kojima, T., Korepin, V., Slavnov, N.
core   +2 more sources

Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited [PDF]

open access: yes, 2008
The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity.
Alvarez   +19 more
core   +4 more sources

On the Stability of Delay Integro-Differential Equations [PDF]

open access: yesMathematical and Computational Applications, 2007
Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.
YALÇINBAŞ, SALİH   +1 more
openaire   +2 more sources

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