Results 61 to 70 of about 755 (165)

Volterra Runge- Kutta Methods for Solving Nonlinear Volterra Integral Equations

Baghdad Science Journal, 2010
In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods.
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Approximate Solutions of Nonlinear Integral Equations Using the Cubic B-Spline Scaling Method

Al-Kitab Journal for Pure Sciences
This paper examines a category of general nonlinear integral equations. These equations also include many special cases, such as functional equations and nonlinear integral equations of the Volterra type.
Mohammed Jabbar Adaay Al-Sharea
doaj   +1 more source

Qualitative analysis of Volterra-type integral equations with an infinite delay model in spaces of locally bounded κ-variation functions

Arab Journal of Basic and Applied Sciences
Integral equations with memory effects and infinite delay arise naturally in applications such as ecology, neuroscience, and viscoelasticity, among others.
Luz Marchan, Liliana Pérez, José Zambrano   +2 more
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Existence theory for nonlinear volterra integral and differential equations

Journal of Inequalities and Applications, 2001
The technique of measures of noncompactness and measures of weak noncompactness is used in order to derive existence results for integrodifferential equation of the form \[ y'(t)= f\left(t,y(t), \int^t_0 k\bigl(t,s,y(s)\bigr)ds \right),\;t\in[0,T],\;y(0)=0.
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Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation. [PDF]

Springerplus, 2016
Wei Y, Chen Y, Shi X, Zhang Y.
europepmc   +1 more source

Nonlinear Volterra integral equations in Henstock integrability setting

Electronic Journal of Differential Equations, 2008
Summary: We prove the existence of global solutions for nonlinear Volterra-type integral equations involving the Henstock integral in Banach spaces. The functions governing the equation are supposed to be continuous only with respect to some variables and to satisfy some integrability or boundedness conditions. Our result improves the similar one given
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On solutions of a Volterra integral equation with deviating arguments

Electronic Journal of Differential Equations, 2009
In this article, we establish the existence and asymptotic characterization of solutions to a nonlinear Volterra integral equation with deviating arguments. Our proof is based on measure of noncompactness and the Schauder fixed point theorem.
M. Diana Julie, Krishnan Balachandran
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Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable-Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty.
Zain Khan, Saleem Abdullah, Samuel Okyere   +2 more
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Volterra integral equation with power nonlinearity

Chebyshevskii Sbornik, 2022
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Continuous selections of solution sets to Volterra integral inclusions in Banach spaces

Electronic Journal of Differential Equations, 2006
We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Sergiu Aizicovici, Vasile Staicu
doaj