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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

Některé vlastnosti nelineárních obvodu a fyzikální význam jakobiánu

Marcel Jiřina (1973)

Aplikace matematiky

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...

Nonexistence of solutions for differential inclusions with upper semicontinuous nonconvex right-hand side

Alberto Bressan (1988)

Rendiconti del Seminario Matematico della Università di Padova

Nonlinear boundary value problems for ordinary differential equations [Book]

Andrzej Granas, Ronald Guenther, John Lee (1985)

Nonlinear differential algebraic equations.

Shcheglova, A.A. (2007)

Sibirskij Matematicheskij Zhurnal

Nonlinear differential equations and algebraic systems.

Williams, Lloyd K. (1978)

International Journal of Mathematics and Mathematical Sciences

Nonlinear initial-value problems with positive global solutions.

Baxley, John V., Enloe, Cynthia G. (2003)

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

Nonlocal Cauchy problems for first-order multivalued differential equations.

Boucherif, Abdelkader (2002)

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

Nonnegative solutions of a class of second order nonlinear differential equations

S. Staněk (1992)

Annales Polonici Mathematici

A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.

Nonoscillation Of Nonlinear Retarded Differential Equations

Cheh-Chih Yeh (1979)

Publications de l'Institut Mathématique

Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces.

Carl, Siegfried, Heikkilä, S. (2005)

Boundary Value Problems [electronic only]

Nonuniqueness for the solutions of ordinary differential equations

Josef Kalas (1979)

Czechoslovak Mathematical Journal

Nonuniqueness results for ordinary differential equations

Josef Kalas (1998)

Czechoslovak Mathematical Journal

In the present paper we give general nonuniqueness results which cover most of the known nonuniqueness criteria. In particular, we obtain a generalization of the nonuniqueness theorem of Chr. Nowak, of Samimi’s nonuniqueness theorem and of Stettner’s nonuniqueness criterion.

Nonuniqueness theorem for a singular Cauchy problem.

Kalas, Josef (2000)

Georgian Mathematical Journal

Note on the differential equation $F (t, y (t), y (h (t)), y^{'} (t)) = 0$

Bogdan Rzepecki (1978)

Commentationes Mathematicae Universitatis Carolinae

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