Results 281 to 290 of about 27,310 (315)

On the Boundedness of Solutions of Nonlinear Integral Equations

Bell System Technical Journal, 1965
Sufficient conditions are presented for the boundedness of the solutions of a vector nonlinear Volterra integral equation of the second kind that frequently arises in the study of automatic control systems containing an arbitrary finite number of time-varying nonlinear elements.
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Nonlinear Integral Equations

2012
A nonlinear integral equation is an integral equation in which the unknown function appears in the equation in a nonlinear manner. The nonlinearity may occur either inside or outside of the integrand or simultaneously in both of these locations. It leads to an astonishing variety of new phenomena related to the characteristics of the solutions and to ...
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On a Class of Nonlinear Singular Integral Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1985
The present communication is a continuation of a previous paper by the author [ibid. 63, 249-259 (1983; Zbl 0525.45004)]. In that paper, the author has applied methods of monotone operator theory to some classes of nonlinear singular integral and integro-differential equations of Cauchy type.
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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
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Nonlinear Integral Equations

The Annals of Mathematics, 1955
Cameron, R. H., Shapiro, J. M.
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A nonlinear integral equation

Nonlinear Analysis: Theory, Methods & Applications, 1981
Nussbaum, Roger D., Baxter, Nancy
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A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind

Applied Numerical Mathematics, 2021
H Laeli Dastjerdi
exaly  

Numerical solutions of two-dimensional nonlinear integral equations via Laguerre Wavelet method with convergence analysis

Applied Mathematics, 2021
K Maleknejad, Maleknejad K
exaly  

Iterative Procedures for Nonlinear Integral Equations

Journal of the ACM, 1965
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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations

Mathematics and Computers in Simulation, 2005
Mohsen Razzaghi
exaly