Results 111 to 120 of about 4,656 (229)

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

Journal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj   +1 more source

Convergence of a collocation scheme for a retarded potential integral equation

, 2003
Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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Existence of solutions for mixed volterra-fredholm integral 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, ∞). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional ...
Sadarangani, Kishin, Aghajani, Asadollah, Jalilian, Yaghoub   +2 more
core  

Characterizations of linear Volterra integral equations with nonnegative kernels

, 2007
We first introduce the notion of positive linear Volterra integral equations. Then, we offer a criterion for positive equations in terms of the resolvent. In particular, equations with nonnegative kernels are positive.
Naito, Toshiki, Murakami, Satoru, Toshiki Naito, Jong Son Shin, Satoru Murakami, Shin, Jong Son, Pham Huu Anh Ngoc, Ngoc, Pham Huu Anh   +7 more
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Some remarks on stability for a phase-field model with memory

, 2006
The phase field system with memory can be viewed as a phenomenological extension of the classical phase equations in which memory effects have been taken into account in both fields.
Novick-Cohen, A., Grinfeld, M.
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions

Electronic Journal of Differential Equations, 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
Angelo B. Mingarelli, Kishin Sadarangani
doaj  

Solvability of Volterra integral equations of third kind by modified Bernstein operators

Journal of Inequalities and Applications
In this paper, we apply modified Bernstein operators B m ∗ ( f ) $B^{*}_{m}(f)$ to obtain the solution of Volterra integral equations of third type.
Petro Bwire, Santosh Kumar, Mohammad Mursaleen   +2 more
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Volterra integral and functional equations

, 1990
This book looks at the theories of Volterra integral and functional ...
Staffans, O, Gripenberg, G, Londen, S O
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Integral equations of Volterra type

, 1978
The behavior of exact solutions to Volterra linear and non-linear integral equations with negative or positive, monotone kernels is studied. It includes properties such as the number of zeroes, boundedness and monotonicity of the solutions on the ...
Ling, Rina
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Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source