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$n$ -th order ordinary differential systems under Stieltjes boundary conditions

Richard C. Brown, Allan M. Krall (1977)

Czechoslovak Mathematical Journal

Natural Runge-Kutta and Projection Methods.

Marino Zennaro (1988)

Numerische Mathematik

Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations.

Gliklikh, Yuri E. (2006)

Abstract and Applied Analysis

Necessary and sufficient conditions for matrix summability methods to be stronger than multisummability

Werner Balser, Andreas Beck (1996)

Annales de l'institut Fourier

For general matrix summability methods, we find necessary and sufficient conditions for such methods to be stronger than multisummability. In a second part we show the existence of power series which are not multisummable but can be summed by a matrix method satisfying the conditions mentioned above

Některé vlastnosti nelineárních obvodu a fyzikální význam jakobiánu

Marcel Jiřina (1973)

Aplikace matematiky

Neumann boundary value problems for impulsive differential inclusions.

Ntouyas, Sotiris K. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Neutral functional differential and integrodifferential inclusions in Banach spaces

M. Benchohra, S. K. Ntouyas (2001)

Bollettino dell'Unione Matematica Italiana

In questo lavoro studiamo l'esistenza di soluzioni deboli su un intervallo compatto di problemi con valore iniziale per inclusioni funzionali neutre differenziali e integrodifferenziali in spazi di Banach. I risultati sono ottenuti usando un teorema di punto fisso per mappe condensanti dovuto a Martelli.

Neutral set differential equations

Umber Abbas, Vasile Lupulescu, Donald O'Regan, Awais Younus (2015)

Czechoslovak Mathematical Journal

The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type $\{\begin{matrix} D_{H} X (t) = F (t, X_{t}, D_{H} X_{t}), \\ {X |}_{[- r, 0]} = Ψ, \end{matrix}$ where $F : [0, b] \times 𝒞_{0} \times 𝔏_{0}^{1} \to K_{c} (E)$ is a given function, $K_{c} (E)$ is the family of all nonempty compact and convex subsets of a separable Banach space $E$ , $𝒞_{0}$ denotes the space of all continuous set-valued functions $X$ from $[- r, 0]$ into $K_{c} (E)$ , $𝔏_{0}^{1}$ is the space of all integrally bounded set-valued functions $X : [- r, 0] \to K_{c} (E)$ , $Ψ \in 𝒞_{0}$ and $D_{H}$ is the Hukuhara derivative. The continuous dependence of solutions on initial data and...

New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative

Yacine Arioua, Maria Titraoui (2019)

Communications in Mathematics

In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness...