Results 271 to 280 of about 108,480 (312)

On an Abstract Integral Equation

SIAM Journal on Mathematical Analysis, 1979
The existence of solutions of the nonlinear Volterra equation \[u(t) + \int_0^t {k(t - s)} gu(s)ds \ni f(t)\] is studied in a real Hilbert space. The nonlinear operator g is assumed to be the subdifferential of a convex function. The results obtained extend earlier ones by Barbu (SIAM J. Math. Anal., 1975), Londen (SIAM J. Math. Anal., 1977) and Londen
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Anticipating Integral Equations

Potential Analysis, 2000
The authors consider a stochastic Volterra equation of the form \[ X_t= Y_t+ \int^t_0 F_1(t,s,X_s) ds+\int^t_0 G(t,s)H (s,X_s)dW_s, \] where \(W\) is a real Brownian motion which generates the filtration \({\mathcal F}\), \(H(s,x)\) is a progressively measurable process and \(G(t,s)\) is \({\mathcal F}_t\)-measurable and smooth in Malliavin calculus ...
León, Jorge A., Nualart, David
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Fuzzy integral equations

Information Sciences, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John N. Mordeson, William Newman
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On integrating the vlasov equation

Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, 1962
A first step in analysing the stability of solutions of the Vlasov equation governing hot plasmas of low density is to solve the linearized equation for the perturbed space and velocity distribution function in terms of the perturbed electric and magnetic fields.
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An Integral Equation Technique

SIAM Journal on Applied Mathematics, 1974
This paper deals with an integral equation technique to reduce the solution of $n(n\geqq 2)$ simultaneous Fredholm integral equations of the first kind to that of $2n$ Volterra integral equations of the first kind and n simultaneous Fredholm integral equations of the second kind.
Vaid, B. K., Jain, D. L.
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Singular Integral Equations

Journal of Mathematical Physics, 1966
The integral equation P ∫ cK(ζ′,ζ)ζ′−ζφ(ζ′) dζ′=h(ζ)φ(ζ)+f(ζ)is shown to have simple solutions obtained by standard and elementary methods if h and K have appropriate analytic properties.
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Abel’s Integral Equation and Singular Integral Equations

2011
Abel’s integral equation occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Abel’s integral equation is the earliest example of an integral equation [2].
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The Solution of an Integral Equation

Canadian Journal of Mathematics, 1964
This paper deals with the problem of finding the solutions of the integral equationwhere the constant a and the function giipc) are both given and both assumed to be real, while the function f1(x) is to be determined.On writingequation (1) simplifies ...
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A Stochastic Integral Equation

SIAM Journal on Applied Mathematics, 1970
We investigate a stochastic integral equation of the form $x'(s) = y'(s) + \int_0^\alpha {K(s,t)dx(t)} $, where $y( s )$ is a process with orthogonal increments on the interval $T_\alpha = [0,\alpha ]$ and $K(s,t)$ is a continuous Fredholm or Volterra kernel on $T_\alpha \times T_\alpha $.
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Linear Integral Equations

1991
The paper is a general survey of linear integral equations of all kinds studied till now in the literature, both theoretical and applicative. The general plan of each type presentation is the underlining of its apparition, the general results obtained during its development, the major contributions of the authors working in the domain, the methods used
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