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Upper bound estimate of the spectral abscissas for switched linear systems via generalized coordinate transformations (Qualitative theory of ordinary differential equations in real domains)

Upper bound estimate of the spectral abscissas for switched linear systems via generalized coordinate transformations (Qualitative theory of ordinary differential equations in real domains)
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Solution of general ordinary differential equations using the algebraic theory approach

Numerical Methods for Partial Differential Equations, 1987
AbstractThe algebraic theory for numerical methods, as developed by Herrera [3–7], provides a broad theoretical framework for the development and analysis of numerical approximations. To this point, the technique has only been applied to ordinary differential equations with constant coefficients.
Celia, Michael, Herrera, Ismael
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The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions

SIAM Journal on Mathematical Analysis, 1980
A two point connection problem for local solutions at two regular singularities of a general linear ordinary differential equation is studied. Explicit formulas for the connection coefficients are obtained which have a wide field of applications especially in the theory of special functions of mathematical physics.
Schäfke, Reinhard, Schmidt, Dieter
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Ordinary Differential Equations with Distributions as Coefficients in the Sense of the Theory of New Generalized Functions

2011
We consider nonautonomous differential equations with distributions as coefficients. Such equations are ill posed from the mathematical point of view since they contain a product of distributions. There are several approaches to formalize that sort of problems, however in general all these approaches lead to different solutions. In the paper the theory
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Ordinary differential equations of first order: general theory

2020
Daniele Ritelli, Giulia Spaletta
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A general fourth order ordinary differential equation with solution in terms of Bessel functions: theory and engineering applications

Structural Engineering and Mechanics, 2007
Reza Attarnejad, Amir K. Ghorbani-Tanha
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Theory of Functional Connections Applied to Linear ODEs Subject to Integral Constraints and Linear Ordinary Integro-Differential Equations

Mathematical and Computational Applications, 2021
Roberto Furfaro, Enrico Schiassi, Andrea D'Ambrosio   +2 more
exaly  

Systems of linear ordinary differential equations with rational coefficients. Elements of the general theory

2006
Athanassios Fokas, Alexander Its, Andrei Kapaev, Victor Novokshenov   +3 more
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Ordinary differential equations, transport theory and Sobolev spaces

Inventiones Mathematicae, 1989
P L Lions
exaly