Results 41 to 50 of about 3,685,749 (356)
Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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Reconstruction of Higher-Order Differential Operators by Their Spectral Data
, 2022 This paper is concerned with inverse spectral problems for higher-order (n>2) ordinary differential operators. We develop an approach to the reconstruction from the spectral data for a wide range of differential operators with either regular or ...
Bondarenko, Natalia P. +1 more
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On Inequalities for Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1958 In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
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A Characterization of Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1967 In this paper we shall give an algebraic characterization of differential-difference operators, i.e. a characterization of those continuous linear operators from D(Rn) into L2(Rn) which can be constructed by combining partial differential operators, multiplications by locally L functions, and translation operators.
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]
, 2004 Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S +15 more
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Relatively bounded and compact perturbations of nth order differential operators
International Journal of Mathematics and Mathematical Sciences, 1998 A perturbation theory for nth order differential operators is developed. For certain classes of operators L, necessary and sufficient conditions are obtained for a perturbing operator B to be relatively bounded or relatively compact with respect to L ...
Terry G. Anderson
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Solution of the inverse spectral problem for differential operators on a finite interval with complex weights [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаNon-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established, and the inverse problem of recovering operators from their spectral ...
Yurko, Vjacheslav Anatol'evich
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GMRES for the Differentiation Operator [PDF]
SIAM Journal on Numerical Analysis, 2009 We investigate using the gmres method with the differentiation operator. This operator is unbounded and thus does not fall into the framework of existing Krylov subspace theory. We establish conditions under which a function can be approximated by its own derivatives in a domain of the complex plane.
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MathematicsA symbolic method is presented for examining the solvability and constructing the exact solution to boundary value problems for systems of linear ordinary loaded differential equations and loaded integro-differential equations with nonlocal boundary ...
Efthimios Providas +2 more
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