Nonconvolution nonlinear integral volterra equations with monotone operators [PDF]
Computers & Mathematics with Applications, 2005 Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques.
Arias, M.R., Benítez, R., Bolós, V.J.
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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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On Nonlinear Integral Inequalities of Gronwall Type in Two Variables [PDF]
, 2003 In this paper we obtain some new nonlinear integral inequality of Gronwall type involving functions of two independent variables which can be used in the analysis of the behavior of the solutions of some partial differential ...
Kim, Young-Ho, Dragomir, Sever S
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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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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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Almost sure subexponential decay rates of scalar Ito-Volterra equations. [PDF]
, 2004 The paper studies the subexponential convergence of solutions of scalar Itˆo-Volterra equations. First, we consider linear equations with an instantaneous multiplicative noise term with intensity .
Appleby, John A.D.
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Fredholm and Volterra nonlinear possibilistic integral equations [PDF]
, 2021 In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.
IANCU, Ionuț T., GAL, Sorin G.
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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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Some weakly singular Volterra integral inequalities with maxima in two variables
Journal of Inequalities and Applications, 2023 In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
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Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels
Abstract and Applied Analysis, 2012 Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well.
Ezzat R. Hassan
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