Nonoscillatory solutions of th order nonlinear differential equation
Nonrectifiable oscillatory solutions of second order linear differential equations
The second order linear differential equation is considered, where , , , for . Sufficient conditions are established for every nontrivial solutions to be nonrectifiable oscillatory near without the Hartman–Wintner condition.
Nonresonance conditions for fourth order nonlinear boundary value problems.
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions.
Non-resonance of the first two eigenvalues of a quasilinear problem. (Non-résonance entre les deux premières valeurs propres d'un problème quasi-linéaire.)
Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter.
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces.
Non-standard dynamical systems. Shadows of trajectories and abstracts rivers.
Nonstandard numerical integrations of a Lotka-Volterra system.
Nonsymmetric solutions of a nonlinear boundary value problem
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
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.
Nontrivial periodic solutions for strong resonance hamiltonian systems
Nontrivial periodic solutions of asymptotically linear Hamiltonian systems.
Nontrivial solution for a three-point boundary-value problem.
Non-trivial solutions for a two-point boundary value problem
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 -difference boundary value problems.
Nonuniqueness for the solutions of ordinary differential equations
Nonuniqueness of implicit lattice Nagumo equation
We consider the implicit discretization of Nagumo equation on finite lattices and show that its variational formulation corresponds in various parameter settings to convex, mountain-pass or saddle-point geometries. Consequently, we are able to derive conditions under which the implicit discretization yields multiple solutions. Interestingly, for certain parameters we show nonuniqueness for arbitrarily small discretization steps. Finally, we provide a simple example showing that the nonuniqueness...
Nonuniqueness results for ordinary differential equations
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.