Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients
Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales
In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.
Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
Necessary and sufficient conditions for the existence of positive solution for singular boundary value problems on time scales.
Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays
Necessary and sufficient conditions for the oscillation a third-order differential equation.
Necessary and sufficient conditions for the oscillation of delay differential equations with a piecewise constant argument.
Necessary and sufficient conditions for the oscillation of forced nonlinear second order delay difference equation
In this paper the authors give necessary and sufficient conditions for the oscillation of solutions of nonlinear delay difference equations of Emden– Fowler type in the form , where is a quotient of odd positive integers, in the superlinear case and in the sublinear case .
Necessary conditions for the multiple integral problem and elliptic variational inequalities
Necessary conditions of optimality in neutral type optimal problems with non-fixed initial moment.
Necessary Optimality Conditions for a Lotka-Volterra Three Species System
An optimal control problem is studied for a Lotka-Volterra system of three differential equations. It models an ecosystem of three species which coexist. The species are supposed to be separated from each others. Mathematically, this is modeled with the aid of two control variables. Some necessary conditions of optimality are found in order to maximize the total number of individuals at the end of a given time interval.
Nehari functions and rates of growth of the Poincaré density.
Některé odhady v teorii quasilineární soustavy s jedním stupněm volnosti
Některé vlastnosti nelineárních obvodu a fyzikální význam jakobiánu
Nelineární vynucené oscilace
Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative.
Neumann boundary value problems across resonance
We obtain an existence-uniqueness result for a second order Neumann boundary value problem including cases where the nonlinearity possibly crosses several points of resonance. Optimal and Schauder fixed points methods are used to prove this kind of results.
Neumann boundary value problems for impulsive differential inclusions.
Neumann boundary-value problems for differential inclusions in Banach spaces.
Neural networks with memory.