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Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.

Sobolev gradients for differential algebraic equations.

Nittka, Robin, Sauter, Manfred (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Sobre la aplicación del teoerma de Picard a una ecuación diferencial de orden n.

Manuel Iglesias Cerezal (1973)

Gaceta Matemática

Sobre La Cohomologia Asociada A Un Operador Lineal Diferencial Complejo.

David Mond (1979)

Revista colombiana de matematicas

Software for the algorithmic work with orthogonal polynomials and special functions.

Koepf, Wolfram (1999)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.

C.J. van Duijn, P. Knabner (1991)

Journal für die reine und angewandte Mathematik

Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations.

Battle, Laurie (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solution formelle Gevrey d'une équation singulièrement perturbée : le cas multidimensionnel

Mireille Canalis-Durand (1993)

Annales de l'institut Fourier

Nous considérons les équations différentielles possédant un paramètre de contrôle, singulièrement perturbées par un petit paramètre $ϵ$ . Nous prouvons alors, par des techniques de majoration directe, que les solutions formelles et le paramètre de contrôle sont des séries Gevrey en $ϵ$ .

We give some results about the topological structure of solution sets of multivalued Sturm-Liouville problems in Banach spaces.

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Singularity diferenciální rovnice

Singularity diferenciální rovnice. II

Small Potential Corrections for the Discrete Eigenvalues of the Sturm-Liouville Problem.

Smooth and discrete systems -- algebraic, analytic, and geometrical representations.

Smooth factorizations of matrix valued functions and their derivatives.

Smoothers and their applications in autonomous system theory.

Smoothness as an invariant property of coefficients of linear differential equations

Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations

Sobolev gradients for differential algebraic equations.

Sobre la aplicación del teoerma de Picard a una ecuación diferencial de orden n.

Sobre La Cohomologia Asociada A Un Operador Lineal Diferencial Complejo.

Software for the algorithmic work with orthogonal polynomials and special functions.

Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.

Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations.

Solution formelle Gevrey d'une équation singulièrement perturbée : le cas multidimensionnel

Solution matching for boundary value problems for linear equations.

Solution of a polylocal problem using Tchebychev polynomials.

Solution of an extraordinary differential equation by Adomian decomposition method.

Solution of some plane filtration problems with partially unknown boundaries.

Solution sets of multivalued Sturm-Liouville problems in Banach spaces

Currently displaying 41 – 60 of 276