Volume 22 Issue 1 | Journal of Integral Equations and Applications

Journal of Integral Equations and Applications

VOL. 22 · NO. 1 | SPRING 2010

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Front Matter

Table of Contents, Journal of Integral Equations, vol. 22, no. 1, (2010)

J. Integral Equations Applications 22 (1), (SPRING 2010) Open Access

No abstract available

Articles

Stochastic Volterra equations in weighted spaces

John A.D. Appleby, Markus Riedle

J. Integral Equations Applications 22 (1), 1-17, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-1 Open Access

KEYWORDS: Volterra integral equations, Volterra integro-differential equations, Stochastic functional differential equations, Itô-Volterra equations, Stochastic Volterra equations, Almost sure asymptotic stability, exponential asymptotic stability, ‎weight function, submultiplicative weight function, weighted spaces, $L^p$ spaces, 60H10, 60H20, 34K20, 45D05

No abstract available

Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, II: Solution regularity and asymptotics

O. Chkadua, S.E. Mikhailov, D. Natroshvili

J. Integral Equations Applications 22 (1), 19-37, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-19 Open Access

KEYWORDS: partial differential equation, Variable coefficients, mixed problem, Parametrix, pseudo-differential equations, boundary-domain integral equations, asymptotics

No abstract available

Norm estimates for a particular weighted integral operator

Epaminondas A. Diamantopoulos

J. Integral Equations Applications 22 (1), 39-56, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-39 Open Access

KEYWORDS: ‎integral operator, Weighted composition operator, Hardy space, Bergman space, Carleman's operator, 32A35‎, ‎32A36‎, 47B38, 47A30

No abstract available

Numerical solution via Laplace transforms of a fractional order evolution equation

William Mclean, Vidar Thomée

J. Integral Equations Applications 22 (1), 57-94, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-57 Open Access

KEYWORDS: Fractional order diffusion equation, Laplace transformation, resolvent, quadrature, spatially semidiscrete approximation, finite elements

No abstract available

Existence and approximations of solutions to some fractional order functional integral equations

M. Muslim, A.K. Nandakumaran

J. Integral Equations Applications 22 (1), 95-114, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-95 Open Access

KEYWORDS: Fractional order functional integral equations, Banach fixed point theorem, analytic semi-group, mild solution, global solution, FaedoGalerkin approximation, 26A33, 34Gxx, 34G20, 47D06

No abstract available

The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations

Johannes Tausch

J. Integral Equations Applications 22 (1), 115-140, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-115 Open Access

No abstract available

A class of integral equations and index transformations related to the modified and incomplete Bessel functions

Semyon Yakubovich

J. Integral Equations Applications 22 (1), 141-164, (SPRING 2010) DOI: 10.1216/JIE-2010-22-1-141 Open Access

KEYWORDS: integral equation of the first kind, Kontorovich-Lebedev transform, modified Bessel function, incomplete Bessel function, Fourier transform, 45A05, 44A15, 44A45, 33C10

No abstract available

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