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Displaying 1081 – 1100 of 2549

Non-monotone period functions for impact oscillators.

Chicone, Carmen, Felts, Kenny (2008)

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

Nonnegative linearization of orthogonal polynomials

Ryszard Szwarc (1996)

Colloquium Mathematicae

Nonnegative nonincreasing solutions of differential equations of the 3rd order

Irena Rachůnková (1990)

Czechoslovak Mathematical Journal

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.

Nonnegativity of functionals corresponding to the second order half-linear differential equation

Robert Mařík (1999)

Archivum Mathematicum

In this paper we study extremal properties of functional associated with the half–linear second order differential equation E $_{p}$ . Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first case is when both points are regular and the second is the case, when one end point is singular. The obtained results extend the theory of quadratic functionals.

Nonoscillation and asymptotic behaviour for third order nonlinear differential equations

Aydın Tiryaki, A. Okay Çelebi (1998)

Czechoslovak Mathematical Journal

In this paper we consider the equation $y^{'''} + q (t) {y^{'}}^{α} + p (t) h (y) = 0,$ where $p, q$ are real valued continuous functions on $[0, \infty)$ such that $q (t) \geq 0$ , $p (t) \geq 0$ and $h (y)$ is continuous in $(- \infty, \infty)$ such that $h (y) y > 0$ for $y \neq 0$ . We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied.

Nonoscillation Criteria for a Class of Nonlinear Differential Equations of Third Order

Cemil Tunc (1997)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Nonoscillation Criteria for Two-Dimensional Time-Scale Systems

Özkan Öztürk, Elvan Akın (2016)

Nonautonomous Dynamical Systems

We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate some of our main results.

Nonoscillation Of Nonlinear Retarded Differential Equations

Cheh-Chih Yeh (1979)

Publications de l'Institut Mathématique

Nonoscillation theorems for functional differential equations of arbitrary order.

Graef, John R., Grammatikopoulos, Myron K., Kitamura, Yuichi, Kusano, Takaŝi, Onose, Hiroshi, Spikes, Paul W. (1984)

International Journal of Mathematics and Mathematical Sciences

Nonoscillatory solutions of a second order nonlinear delay differential equation

Ján Ohriska (1985)

Mathematica Slovaca

Nonoscillatory solutions of differential equations with deviating argument

Valter Šeda (1986)

Czechoslovak Mathematical Journal

Nonoscillatory solutions of $n$ th order nonlinear differential equation

Jozef Rovder (1982)

Časopis pro pěstování matematiky

Nonrectifiable oscillatory solutions of second order linear differential equations

Takanao Kanemitsu, Satoshi Tanaka (2017)

Archivum Mathematicum

The second order linear differential equation ${(p (x) y^{'})}^{'} + q (x) y = 0, x \in (0, x_{0}]$ is considered, where $p$ , $q \in C^{1} (0, x_{0}]$ , $p (x) > 0$ , $q (x) > 0$ for $x \in (0, x_{0}]$ . Sufficient conditions are established for every nontrivial solutions to be nonrectifiable oscillatory near $x = 0$ without the Hartman–Wintner condition.

Nonresonance conditions for fourth order nonlinear boundary value problems.

de Coster, C., Fabry, C., Munyamarere, F. (1994)

International Journal of Mathematics and Mathematical Sciences

Non-resonance of the first two eigenvalues of a quasilinear problem. (Non-résonance entre les deux premières valeurs propres d'un problème quasi-linéaire.)

El Amrouss, A.R., Moussaoui, M. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Nontrivial periodic solutions for strong resonance hamiltonian systems

K. C. Chang, J. Q. Liu, M. J. Liu (1997)

Annales de l'I.H.P. Analyse non linéaire

Nontrivial periodic solutions of asymptotically linear Hamiltonian systems.

Fei, Guihua (2001)

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

Nonwandering points and the set of central motions in discontinuous disperse dynamic systems

И.А. Чиркова (1986)

Matematiceskie issledovanija

Normal forms for certain singularities of vectorfields

Floris Takens (1973)

Annales de l'institut Fourier

$C^{\infty}$ normal forms are given for singularities of $C^{\infty}$ vectorfields on $R$ , which are not flat, and for $C^{\infty}$ vectorfields $X$ on $R^{2}$ with $X (0) = 0$ , the 1-jet of $X$ in the origin is a pure rotation, and some higher order jet of $X$ attracting or expanding.

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