Results 41 to 50 of about 18,904 (165)

Monotonic solutions of functional integral and differential equations of fractional order

Electronic Journal of Qualitative Theory of Differential Equations, 2009
The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
Ahmed El-Sayed, H. H. G. Hashem
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Existence Results for Some Nonlinear Functional-Integral Equations in Banach Algebra with Applications

International Journal of Analysis and Applications, 2016
In the present manuscript, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contains various integral and functional equations that considered in nonlinear analysis and its applications ...
Lakshmi Narayan Mishra, H. M. Srivastava, Mausumi Sen   +2 more
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Numerical solution of nonlinear Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series

Alexandria Engineering Journal, 2013
A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
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A Singular Nonlinear Volterra Integral Equation

Journal of Integral Equations and Applications, 1993
Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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Qualitative properties of nonlinear Volterra integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this article, the contraction mapping principle and Liapunov's method are used to study qualitative properties of nonlinear Volterra equations of the form $x(t) = a(t) -\int^{t}_{0}C(t,s)g(s,x(s))\;ds,t\geq0.$ In particular, the existence of bounded ...
Muhammad Islam, Jeffrey Neugebauer
doaj   +1 more source

Existence Results for Nonlinear Integral Equations

Journal of Mathematical Analysis and Applications, 1995
The author gives sufficient conditions for the existence of a solution of the nonlinear Volterra integral equation \[ y(t)= h(t)+ \int^t_0 k(t, s) f(s, y(s)) ds, \qquad 0\leq ...
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Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations

Discrete Dynamics in Nature and Society
This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition.
Guo Jiang, Dan Chen, Fugang Liu
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Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj  

Three-dimensional triangular functions and their applications for solving nonlinear mixed Volterra–Fredholm integral equations

Alexandria Engineering Journal, 2016
In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
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ASYMPTOTIC INTEGRABILITY OF NONLINEAR WAVE EQUATIONS

Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika
We introduce the notion of asymptotic integrability into the theory of nonlinear wave equations. It means that the Hamiltonian structure of equations describing propagation of high-frequency wave packets is preserved by hydrodynamic evolution of the large-scale background wave so that these equations have an additional integral of motion.
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