Results 31 to 40 of about 4,406,486 (167)
On the Stability of the Linear Functional Equation.
Proceedings of the National Academy of Sciences of the United States of America, 1941 theory of q-difference equations to a comparable degree of completeness. This program includes in particular the complete theory of the convergence and divergence of formal series, the explicit determination of the essential transcendental invariants ...
D. H. Hyers
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Revista Técnica de la Facultad de Ingeniería, 2011 The object of this paper is to obtain the solution of a general class of integral equations examples of which occur widely in boundary value problems in applied mathematics.
J. S. Lowndes
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A reduction algorithm for Volterra integral equations [PDF]
arXiv, 2023 An integral equation is a way to encapsulate the relationships between a function and its integrals. We develop a systematic way of describing Volterra integral equations -- specifically an algorithm that reduces any separable Volterra integral equation into an equivalent one in operator-linear form, i.e. one that only contains iterated integrals. This
arxiv
Iraqi Journal for Computer Science and MathematicsThe primary focus of this paper is to thoroughly examine and analyze a class of a fractional quadratic integral equation via generalized fractional integral.
Alan Jalal Abdulqader +4 more
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On the integral equation of an adjoint boundary value problem of heat conduction
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 An integral equation is considered, to which a nonhomogeneous first boundary value problem with an adjoint heat conduction operator is reduced. The problem is set in an infinite plane angle, that is, a boundary of the domain moves with a constant ...
M.T. Kosmakova +4 more
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The skew derivative problem for the Helmholtz equation outside cuts in a plane [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1999 The skew derivative problem for the propagative Helmholtz equation outside cuts in a plane is studied by potential theory and the boundary integral equation method.
P.A. Krutitskii
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Bernstein polynomials for solving Abel's integral equation
, 2011 This paper presents a numerical method for solving Abel’s integral equation as singular Volterra integral equations. In the proposed method, the functions in Abel’s integral equation are approximated based on Bernstein polynomials (BPs) and therefore ...
M. Alipour, D. Rostamy
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Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations
Journal of Mathematical Sciences and Modelling, 2020 In this paper, two-dimensional modified block-pulse functions (2D-MBPFs) method is introduced for approximate solution of 2D-linear stochastic Volterra-Fredholm integral equations so the ordinary and stochastic operrational matrices of integration are ...
Mohsen Fallahpour, Morteza Khodabin
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Nonlocal Super Integrable Equations [PDF]
arXiv, 2017 We present nonlocal integrable reductions of super AKNS coupled equations. By the use of nonlocal reductions of Ablowitz and Musslimani we find new super integrable equations. In particular we introduce nonlocal super NLS equations and the nonlocal super mKdV equations.
arxiv
Numerical methods for solution of singular integral equations [PDF]
arXiv, 2016 This paper is devoted to overview of the authors works for numerical solution of singular integral equations (SIE), polysingular integral equations and multi-dimensional singular integral equations of the second kind. The authors investigated onsidered iterative - projective methods and parallel methods for solution of singular integral equations ...
arxiv