On solutions of a Volterra integral equation with deviating arguments [PDF]
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 SOLUTIONS OF NONLINEAR VOLTERRA INTEGRAL EQUATION SYSTEMS
International Journal of Modern Physics B, 2010 The purpose of this study is to implement a new approximate method for solving system of nonlinear Volterra integral equations. The technique is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation ...
Yalçinbaş, Salih, Erdem, Kübra
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation [PDF]
, 2022 In this paper we present the existence of solutions for a nonlinear fractional integral equation of Volterra type with mixed boundary conditions, some necessary hypotheses have been developed to prove the existence of solutions to the proposed equation ...
Ishak, Faraj Y.
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Nonlinear Volterra integral equations in Henstock integrability setting
Electronic Journal of Differential Equations, 2008 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 ...
Bianca-Renata Satco
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Different Effects of Induced Plant Defense on Population Densities of Specialist and Generalist Insects: An Explanation by Mathematical Modeling. [PDF]
Ecol EvolInduced defense chemicals in plants determine the community structure of different insect (herbivore) groups. In particular, specialists are endemic and generalists are non‐endemic in the wild because of the ecological roles of induced secondary metabolites.
Chakraborty S, Schuster S.
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Numerical solution of multiple nonlinear Volterra integral equations [PDF]
Applied Mathematics and Computation, 2011 29 ...
S. A. Belbas, Yuriy Bulka
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Numerical and analytic method for solvingproposal New Type for fuzzy nonlinear volterra integral equation [PDF]
, 2016 In this paper, we proved the existence and uniqueness and convergence of the solution of new type for nonlinear fuzzy volterra integral equation . The homotopy analysis method are proposed to solve the new type fuzzy nonlinear Volterra integral equation .
Hasan, Sameer Qasim +3 more
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On nonlinear scalar Volterra integral equations. I [PDF]
Transactions of the American Mathematical Society, 1985 The scalar nonlinear Volterra integral equation \[ u ( t ) +
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