Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions
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]
The problem of factoring the general ordinary linear differential operator L y =
Anton Zettl
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Characterization of self-adjoint domains for differential operators with interior singular points
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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Holographic duality for 3d spin-3 gravity coupled to scalar field
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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Spectral Curves for Third-Order ODOs
Spectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
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Fractional calculus and fractal theory remain significant tools in modeling complex real-world problems in biology and life science. In this study, we formulated a compartmental mathematical model using the Caputo fractional and fractal–fractional ...
Shuo Li +5 more
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Generalized fractional integration of the \overline{H}-function
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
doaj
<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]
Loeffler D, Williams C.
europepmc +1 more source
Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]
Soliman M +3 more
europepmc +1 more source
Structural dualities between the Schrödinger equation and its ultra-slow-light counterpart in one spatial and one temporal dimension. [PDF]
Rojas J, Casanova E, Arias M.
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