Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Generalized System of Riccati-Type Equations [PDF]
EPJ Web of Conferences, 2018 A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established.
Yamaleev Robert M.
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Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations [PDF]
Journal of Applied Mathematics, 2012 We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations.
Isaiah Elvis Mhlanga +1 more
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Generalized solutions to parabolic-hyperbolic equations [PDF]
Electronic Journal of Differential Equations, 2003 We study boundary-value problems for composite type equations: parabolic-hyperbolic equations. We prove the existence and uniqueness of generalized solutions, using energy inequality and the density of the range of the operator generated by the problem.
Lazhar Bougoffa, Mohamed Said Moulay
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Almost periodic generalized solutions of differential equations [PDF]
, 2021 summary:The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions.
Bouzar, Chikh, Ouikene, Fethia
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Two generalized Tricomi equations [PDF]
, 2021 In this note we give existence results for the generalized Tricomi equations Ru′ ′+ Bu= f and (Ru′)′+Bu=f with suitable boundary data where R may be an operator (or a function) depending also on time assuming positive, null and negative sign, while B is ...
Paronetto F., Fabio Paronetto
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On global regularity of 2D generalized magnetohydrodynamic equations [PDF]
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +3 more
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Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
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Schlafli modular equations for generalized Weber functions [PDF]
, 2008 Sets of appropriately normalized eta quotients, that we call level n Weber functions, are defined, and certain identities generalizing Weber function identities are proved for these functions.
William B. Hart, Hart, William B.
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A matrix method for system of integro-differential equations by using generalized Laguerre polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 The purpose of this research is to present a matrix method for solving system of linear Fredholm integro-differential equations(FIDEs) of the second kind on unbounded domain with degenerate kernels in terms of generalized Laguerre polynomials(GLPs).
Mashallah Matinfar, Abbas Riahifar
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