Results 11 to 20 of about 3,135,223 (208)

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 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.
core   +4 more sources

Different Effects of Induced Plant Defense on Population Densities of Specialist and Generalist Insects: An Explanation by Mathematical Modeling. [PDF]

open access: yesEcol Evol
Induced 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.
europepmc   +2 more sources

Competitive Lotka–Volterra population dynamics with jumps [PDF]

open access: yes, 2011
This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive ...
Yuan, Chenggui   +3 more
core   +4 more sources

Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]

open access: yesMathematics and Computational Sciences, 2021
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
doaj   +1 more source

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

open access: yes, 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.
core   +1 more source

Solvability of a Volterra–Stieltjes integral equation in the class of functions having limits at infinity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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

On Solutions of a Nonlinear Erdélyi-Kober Integral Equation

open access: yesAbstract and Applied Analysis, 2014
We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev   +2 more
doaj   +1 more source

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

Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

open access: yesAlexandria Engineering Journal, 2014
In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan   +3 more
doaj   +1 more source

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