Results 41 to 50 of about 466,993 (231)

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

Hungry Volterra equation, multi boson KP hierarchy and Two Matrix Models [PDF]

open access: yes, 1998
We consider the hungry Volterra hierarchy from the view point of the multi boson KP hierarchy. We construct the hungry Volterra equation as the B\"{a}cklund transformations (BT) which are not the ordinary ones. We call them ``fractional '' BT. We also study the relations between the (discrete time) hungry Volterra equation and two matrix models.
arxiv   +1 more source

Numerical Approximation of Stochastic Volterra Integral Equation Using Walsh Function [PDF]

open access: yesarXiv, 2023
This paper provides a numerical approach for solving the linear stochastic Volterra integral equation using Walsh function approximation and the corresponding operational matrix of integration. A convergence analysis and error analysis of the proposed method for stochastic Volterra integral equations with Lipschitz functions are presented.
arxiv  

A Singular Nonlinear Volterra Integral Equation [PDF]

open access: yesJournal of Integral Equations and Applications, 1993
This paper concerns the integral equationx(t) = f(t) + t0 g(s)/x(s) dsin which the functions and variables are real-valued and x is the unknown. The interest is in nonnegative continuous solutions of this equation for t ≥ 0 when f ∈ C([0,∞)), f(0) ≥ 0 and g ∈ L1(0, τ) for all τ ∈ (0,∞). Of particular interest is the singular case f(0) = 0.
openaire   +4 more sources

Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity

open access: yesAbstract and Applied Analysis, 2012
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
doaj   +1 more source

MODIFIED QUASI SIMPS0N 'S 3/8 RULE FOR SOLVING SYSTEM OF INTEGRAL EQUATION OF THE SECOND KIND LINEAR [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
Actually, it is possible to solve systems of integral equation by using many approaches. However, in this study, the modified quasi Simpson's 3/8 rule used to find the numerical solution of a system of linear Volterra integral equations of the second ...
Mohammed Yosuf Turki
doaj   +1 more source

On Some Classes of Linear Volterra Integral Equations

open access: yesAbstract and Applied Analysis, 2014
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
doaj   +1 more source

On the linearization of Volterra integral equations

open access: yesJournal of Mathematical Analysis and Applications, 1968
Volterra integral equations linearization, discussing integral kernels, integrodifferential equations and reactor ...
openaire   +2 more sources

A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2014
In this paper, an iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral ...
A. H. Borzabadi, M. Heidari
doaj   +1 more source

A Physical Phenomenon for the Fractional Nonlinear Mixed Integro-Differential Equation Using a General Discontinuous Kernel

open access: yesFractal and Fractional, 2023
In this study, a fractional nonlinear mixed integro-differential equation (Fr-NMIDE) is presented and has a general discontinuous kernel based on position and time space.
Sharifah E. Alhazmi, Mohamed A. Abdou
doaj   +1 more source

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