Results 221 to 230 of about 19,734 (265)

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
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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
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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 0001, Abdalah Ali Badr, M. M. El-Kojok   +2 more
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Integrable nonlinear equations on a half-axis

Ukrainian Mathematical Journal, 1991
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HAMILTONIAN INTEGRATORS FOR THE NONLINEAR SCHROEDINGER EQUATION

International Journal of Modern Physics C, 1994
Hamiltonian integration schemes for the Nonlinear Schroedinger Equation are examined. The efficiency with respect to accuracy and integration time of an integrable scheme, a standard conservative scheme, and a symplectic method is compared.
Ablowitz, Mark J., Schober, Constance M.
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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
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Integrable Nonlinear Equations

1992
Publisher Summary In this chapter, appropriate linear eigenvalue problems are used to solve several physically significant initial (and initial-boundary) value problems. The main mathematical tools used are the Riemann–Hilbert (RH) problem for equations in 1 + 1 and the nonlocal Riemann–Hilbert problem for some equations in 2 + 1.
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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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An integrating factor for nonlinear Dirac equations

Computer Physics Communications, 2010
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Francisco de la Hoz, Fernando Vadillo
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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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