Results 101 to 110 of about 62,013 (161)

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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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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Integral equations

1990
Abstract An integral equation is an equation in which an unknown function appears under an integral sign and the problem of solving the equation is to determine that function. As we shall soon see, some problems of mathematical physics lead directly to integral equations, and other problems, which lead first to ordinary or partial ...
David Porter, David S. G. Stirling
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