Optimal Control Problem for Some Degenerate Variation Inequality: Attainability Problem
We study an optimal control problem for degenerate elliptic variation inequality with degenerate weight function of potential type in the so-called class of H-admissible solutions.
Nina V. Kasimova
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Generalized Ponce’s inequality
We provide a generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, such as a characterization of Sobolev spaces or nonlocal modelization.
Julio Muñoz
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Families of Integrable Equations [PDF]
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
Kassotakis, P., Nieszporski, M.
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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On the Double of the Emad - Falih Transformation and Its Properties with Applications
In this paper, we have generalized the concept of one dimensional Emad - Falih integral transform into two dimensional, namely, a double Emad - Falih integral transform.
Saed M. Turq, Emad A. Kuffi
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Dirac Integral Equations for Dielectric and Plasmonic Scattering [PDF]
A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known ...
Helsing, Johan, +5 more
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INTEGRATION OF PARTIALLY INTEGRABLE EQUATIONS [PDF]
12 p, WASCOM XIII (Acireale, 19-25 June 2005)
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About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives
An existence and uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated ...
Kishin B. Sadarangani +1 more
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Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
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