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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

Nonresonance impulsive higher order functional nonconvex-valued differential inclusions.

Benchohra, M., Graef, J.R., Henderson, J., Ntouyas, S.K. (2002)

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

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

Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter.

Bairamov, Elgiz, Seyyidoglu, M.Seyyit (2010)

Abstract and Applied Analysis

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

Carl, Siegfried, Heikkilä, S. (2005)

Boundary Value Problems [electronic only]

Non-standard dynamical systems. Shadows of trajectories and abstracts rivers.

Véronique Gautheron, Emmanuel Isambert (1994)

Collectanea Mathematica

Nonstandard numerical integrations of a Lotka-Volterra system.

Bhowmik, Samir K. (2009)

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

Nonsymmetric solutions of a nonlinear boundary value problem

Sámuel Peres (2014)

Czechoslovak Mathematical Journal

We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing open...

Nontrivial critical points of asymptotically quadratic functions at resonances

Michal Fečkan (1997)

Annales Polonici Mathematici

Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.

We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.

Nontrivial solutions for fractional $q$ -difference boundary value problems.

Ferreira, Rui A.C. (2010)

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

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Non-oscillatory behaviour of higher order functional differential equations of neutral type.

Nonoscillatory solutions for higher-order neutral dynamic equations on time scales.

Nonoscillatory solutions of a second order nonlinear delay differential equation

Nonoscillatory solutions of differential equations with deviating argument

Nonoscillatory solutions of $n$ th order nonlinear differential equation

Nonrectifiable oscillatory solutions of second order linear differential equations