Results 91 to 100 of about 14,005 (202)

Oscillation Theorems of Nonlinear Volterra-Stieltjes Integral Equations

Journal of Mathematical Analysis and Applications, 1995
The oscillatory behavior of solutions to the nonlinear Volterra-Stieltjes integral equation \[ p(t) \psi (y) y'_+ (t)= c+ \int^t_0 f(y (s)) d\sigma (s) \] is considered. \(y'_+ (t)\) denotes the right derivative of \(y(t)\), \(p(t)> 0\) and \(\sigma (t)\) are right-continuous and of locally bounded variation on \([0, \infty)\), \(\psi: (- \infty ...
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions

, 2007
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B., Sadarangani, Kishin   +1 more
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A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations

, 2016
In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the integral in given equation.
Bhalekar, Sachin, Patade, Jayvant
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On some Nonlinear Integral Inequalities for Volterra Integral Equations

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract In this paper, we have stated and proved some results on nonlinear integral inequalities and its applications which provide an explicit bound on unknown function and can be used as a tool in the study of certain nonlinear retarded Volterra integral equations.
S.D. Kendre, S.G. Latpate
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Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]

AIP Advances
This paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
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Qualitative properties of nonlinear Volterra integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2008
Summary: The contraction mapping principle and Lyapunov's method are used to study qualitative properties of nonlinear Volterra equations of the form \[ x(t) = a(t) -\int^{t}_{0}C(t,s)g(s,x(s))\;ds,\quad t\geq0. \] In particular, the existence of bounded solutions and solutions with various \(L^p\) properties are studied under suitable conditions on ...
Islam, Muhammad, Neugebauer, J.
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Quasilinearization-Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Existence of solutions for mixed Volterra-Fredholm integral equations

Electronic Journal of Differential Equations, 2012
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani, Yaghoub Jalilian, Kishin Sadarangani   +2 more
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On the Variational Iteration Method for the Nonlinear Volterra Integral Equation

CoRR, 2019
9 pages, 2 ...
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Fractional order semilinear Volterra integrodifferential equations in Banach spaces

, 2016
In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces.
Li, Kexue
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