نتایج جستجو برای: nonlinear integral random equation

تعداد نتایج: 784621  

2013
Claire Michel Josselin Garnier Pierre Suret Stéphane Randoux Antonio Picozzi CLAIRE MICHEL JOSSELIN GARNIER PIERRE SURET STÉPHANE RANDOUX ANTONIO PICOZZI

This article is composed of two parts. The first part is aimed at providing an overview on the kinetic description of random nonlinear waves considering the one-dimensional nonlinear Schrödinger (NLS) equation as a representative model of optical wave propagation. We expose, in particular, the key problem of achieving a closure of the infinite hierarchy of moment equations for the random field....

2010
Zixin Liu Shu Lü Shouming Zhong Mao Ye

In this paper, some new nonlinear generalized Gronwall-Bellman-Type integral inequalities with mixed time delays are established. These inequalities can be used as handy tools to research stability problems of delayed differential and integral dynamic systems. As applications, based on these new established inequalities, some p-stable results of a integro-differential equation are also given. T...

2005
J. CABALLERO

Integral equations arise naturally in applications of real world problems [5, 6, 7, 8]. The theory of integral equations has been well developed with the help of various tools from functional analysis, topology and fixed-point theory. The classical theory of integral equations can be generalized if one uses the Stieltjes integral with kernels dependent on one or two variables. The aim of this p...

This paper focuses on the fuzzy Volterra integro-differential equation of nth order of the second-kind with nonlinear fuzzy kernel and initial values. The derived integral equations are solvable, the solutions of which are unique under certain conditions. The existence and uniqueness of the solutions are investigated in a theorem and an upper boundary is found for solutions. Comparison of the e...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه یزد 1387

چکیده ندارد.

Journal: :Mathematical and Computer Modelling 2006
Józef Banas Juan Rocha Martin Kishin B. Sadarangani

We study the solvability of a nonlinear quadratic integral equation of Hammerstein type. Using the technique of measures of noncompactness we prove that this equation has solutions on an unbounded interval. Moreover, we also obtain an asymptotic characterization of these solutions. Several special cases of this integral equation are discussed and applications to real world problems are indicate...

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1980

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