Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions
Axioms, 2021 This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well ...
Efthimios Providas +2 more
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General Theory of the Factorization of Ordinary Linear Differential Operators [PDF]
Transactions of the American Mathematical Society, 1974 The problem of factoring the general ordinary linear differential operator L y = y ( n ) + p n − 1
openaire +2 more sources
Characterization of self-adjoint domains for differential operators with interior singular points
Arab Journal of Mathematical Sciences, 2016 We characterize the self-adjoint domains of general even order linear ordinary differential operators which have finite interior singular points in terms of real-parameter solutions of the differential equation.
Qiuxia Yang, Wanyi Wang
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Differential operators on the superline, Berezinians, and Darboux transformations [PDF]
, 2017 We consider differential operators on a supermanifold of dimension $1|1$. We define non-degenerate operators as those with an invertible top coefficient in the expansion in the "superderivative" $D$ (which is the square root of the shift generator, the ...
Li, Simon +2 more
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Holographic duality for 3d spin-3 gravity coupled to scalar field
Nuclear Physics B, 2019 The 3d spin-3 gravity theory is holographically dual to a 2d W3-extended CFT. In a large-c limit the symmetry algebra of the CFT reduces to SU(1,2)×SU(1,2).
Ryuichi Nakayama +2 more
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Quantum-induced interactions in the moduli space of degenerate BPS domain walls [PDF]
, 2014 In this paper quantum effects are investigated in a very special two-scalar field model having a moduli space of BPS topological defects. In a $(1+1)$-dimensional space-time the defects are classically degenerate in mass kinks, but in $(3+1)$ dimensions ...
Alonso-Izquierdo, Alberto +1 more
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Conditional symmetry and spectrum of the one-dimensional Schr\"odinger equation [PDF]
, 1996 We develop an algebraic approach to studying the spectral properties of the stationary Schr\"odinger equation in one dimension based on its high order conditional symmetries.
Bluman G. W. +8 more
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New Fundamental Symmetries of Integrable Systems and Partial Bethe Ansatz [PDF]
, 1997 We introduce a new concept of quasi-Yang-Baxter algebras. The quantum quasi-Yang-Baxter algebras being simple but non-trivial deformations of ordinary algebras of monodromy matrices realize a new type of quantum dynamical symmetries and find an ...
A.G. Ushveridze +46 more
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The Logarithmic Conformal Field Theories [PDF]
, 1996 We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions.
A. Aghamohammadi +19 more
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d=2, N=2 Superconformally Covariant Operators and Super W-Algebras
, 1997 We construct and classify superconformally covariant differential operators defined on N=2 super Riemann surfaces. By contrast to the N=1 theory, these operators give rise to partial rather than ordinary differential equations which leads to novel ...
Gieres, F., Gourmelen, S.
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