Results 261 to 270 of about 30,513 (305)

A solution of a nonlinear integral equation

Applied Mathematics and Computation, 2005
Among various frequently used linear and nonlinear integral equations, which play important role in functional analysis, the authors consider the integral equation \[ \varphi(x,t)= f(x,t)+ \int^1_0 k(x,y) \gamma(y,\varphi(y, t))\,dy+ \int^t_0 F(t,\tau)\,\varphi(x,\tau)\,d\tau, \] where the notations are explained in the paper. Existence of the solution
M A Abdou, Wagdy Gomaa El-Sayed, E I Deebs   +2 more
exaly   +2 more sources

On the solution of a mixed nonlinear integral equation

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M A Abdou
exaly   +3 more sources

On the solution of linear and nonlinear integral equation

Applied Mathematics and Computation, 2003
The author considers Fredholm-Volterra integral equations of the second kind in the space \(L_2(\Omega)\times C[0,T]\). The linear as well as the nonlinear case is under consideration. In the linear case, using separation of variables, the author obtains a Volterra integral equation of the second kind with respect to time in the space \(C[0,T]\), and a
M A Abdou
exaly   +3 more sources

Tzitzéica Equation and Proliferation of Nonlinear Integrable Equations

Theoretical and Mathematical Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borisov, A. B., Zykov, S. A., Pavlov, M. V.   +2 more
openaire   +2 more sources

On the integrability of a nonlinear Schrödinger equation

Physica Scripta, 1994
Summary: It is shown that the nonlinear Schrödinger equation proposed by \textit{B. A. Malomed} and \textit{L. Stenflo} [J. Phys. A, Math. Gen. 24, No. 19, L1149--L1153 (1991; Zbl 0754.35161)] can be transformed to the cubic Schrödinger equation for a certain set of parameters and is thus integrable.
openaire   +2 more sources

Integral solution of a class of nonlinear integral equations

Applied Mathematics and Computation, 2013
This paper is concerned with the existence of integral solutions to a general nonlinear integral equationx(t)=f"1(t,x(@f"1(t)))+f"2t,@!"0^@f^"^2^(^t^)k(t,s)f"3(s,x(@f"3(s)))ds,t@?R^+.With the help of Krasnoselskii's fixed point theorem and the theory of measure of weak noncompactness, we establish a new and general existence theorem for the nonlinear ...
Jin Liang, Sheng-Hua Yan, Ravi P. Agarwal, Tingwen Huang   +3 more
openaire   +1 more source

Integrable nonlinear equations on a half-axis

Ukrainian Mathematical Journal, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Nonlinear Integral Equations

1986
Integral equations appear in many engineering and physics problems. Numerical methods of solution for integral equations have been largely developed within the last 20 years (References 1–4). In this chapter a development involving an imbedding method for obtaining the numerical solution of nonlinear integral equations is described (References 5, 6 ...
Harriet Kagiwada, Robert Kalaba, Nima Rasakhoo, Karl Spingarn   +3 more
openaire   +1 more source

Geometric Integrators for the Nonlinear Schrödinger Equation

Journal of Computational Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Islas, A. L., Karpeev, D. A., Schober, C. M.   +2 more
openaire   +1 more source