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volterra equations

Boundedness and stability of discrete Volterra equations

Boundedness and stability of discrete Volterra equations

... difference equations are widely used in modeling of processes in many branches of natural sciences, economics and ...crete Volterra equations has been studied by many ...

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Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials

Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials

... of Volterra integral equations using various ...of Volterra integral equations of the second ...nonlinear Volterra equations using both Hermite and Chebychev polynomial ...solved ...

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On Volterra type integral equations in noncompact metric space

On Volterra type integral equations in noncompact metric space

... The paper is organized as follows. In Section  we introduce an abstract nonlinear ana- logue of the Volterra equations and its corresponding inequality. In Section  we discuss the possibility to replace ...

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On Existence of Solutions of q Perturbed Quadratic Integral Equations

On Existence of Solutions of q Perturbed Quadratic Integral Equations

... integral equations with nonsigular kernels have been ...quadratic Volterra equations with ...integral equations of arbitrary orders with singular ...integral equations of arbi- trary ...

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Numerical Solution of Volterra Integral Equations of Second Kind

Numerical Solution of Volterra Integral Equations of Second Kind

... integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations and ordinary differential ...integral equations and ...

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Asymptotically almost periodic solution to a class of Volterra difference equations

Asymptotically almost periodic solution to a class of Volterra difference equations

... discrete Volterra equations, we refer the reader to the well-known monograph [] by ...for Volterra-type difference equations in [–] by Diblík et ...for Volterra-type difference ...

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On the boundedness of the solutions in nonlinear discrete Volterra difference equations

On the boundedness of the solutions in nonlinear discrete Volterra difference equations

... discrete Volterra equations in both convolution and non-convolution ...discrete equations is motivated as because they represent a discrete analogue of some integral ...

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Second order Volterra-Fredholm functional integrodifferential equations

Second order Volterra-Fredholm functional integrodifferential equations

... This paper deals with the study of global existence of solutions to initial value problem for second order nonlinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces. The ...

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Stochastic Volterra integral equations with a parameter

Stochastic Volterra integral equations with a parameter

... The theory of stochastic differential equations (SDEs), including SDEs with parameters, is an important topic in stochastic processes. There exists much research work on this topic (see, e.g., [–]). SVIEs, as a ...

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On quadratic integral equations of Volterra type  in  Fr’echet spaces

On quadratic integral equations of Volterra type  in Fr’echet spaces

... integral equations on unbounded intervals; most of their results have been obtained in the setting of the Banach space of bounded and continuous functions on the nonnegative real half-axis and have employed the ...

7

Continuous Θ-methods for the stochastic pantograph equation

Continuous Θ-methods for the stochastic pantograph equation

... Remark 1: Equation (1.2a) and its generalisations possess a wide range of applications. Equation (1.2a) arises, for example, in the analysis of the dynamics of an overhead current collection system for an electric ...

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Exact solutions of nonlinear interval Volterra
 integral equations

Exact solutions of nonlinear interval Volterra integral equations

... interval Volterra integral equations are introduced, then the new method based on the modification of Laplace decomposi- tion method in two step is ...

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Collocation Method for Nonlinear Volterra Fredholm Integral Equations

Collocation Method for Nonlinear Volterra Fredholm Integral Equations

... linear Volterra-Fredholm integral equations and finally, some numerical results are presented in the final section, which support the theoretical results obtained in this ...

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Optimum Solutions of Fredholm and Volterra Integro-differential Equations

Optimum Solutions of Fredholm and Volterra Integro-differential Equations

... [2] Wazwaz, A. M. (2014). The variational iteration method for solving the Volterra integro-differential forms of the Lane– Emden equations of the first and the second kind. Journal of Mathematical ...

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Covariance Operators and the Central Limit Theory for "Loop" Markov Chains

Covariance Operators and the Central Limit Theory for "Loop" Markov Chains

... The aim of this paper is to introduce new method for solving a system of linear fractional Integro-differential equations of Volterra (LFIDEV) numerically presented based on B-spline techniques. Also, to ...

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Existence, Uniqueness of solutions for Set Differential Equations Involving Causal Operators with Memory

Existence, Uniqueness of solutions for Set Differential Equations Involving Causal Operators with Memory

... differential equations and the causal operators, the study of set differential equations involving causal operators with memory has been initiated in ...differential equations involving causal ...

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Some nonlinear integral inequalities for Volterra-Fredholm Integral equations

Some nonlinear integral inequalities for Volterra-Fredholm Integral equations

... nonlinear Volterra-Fredholm integral inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some Volterra-Fredholm nonlinear integral ...

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Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations

Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations

... In the present research paper we derive results about existence and uniqueness of solutions and Ulam–Hyers and Rassias stabilities of nonlinear Volterra–Fredholm delay integrodifferential equa- tions. Pachpatte’s ...

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Neumann method for solving conformable fractional Volterra integral equations

Neumann method for solving conformable fractional Volterra integral equations

... Abstract This paper deals with the solution of a class of Volterra integral equations in the sense of the conformable fractional derivative. For this goal, the well-organized Neumann method is developed and ...

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A method for fractional Volterra integro differential equations by Laguerre polynomials

A method for fractional Volterra integro differential equations by Laguerre polynomials

... The absolute errors of our method are compared with three methods: linear scheme, quadratic scheme, and linear-quadratic scheme for the fractional integro-differential equations of Kumar et al. [28] for N = 5 in ...

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