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Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients

Radhanath N. Rath, Niyati Misra (2004)

Mathematica Slovaca

Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales

Youssef N. Raffoul (2016)

Archivum Mathematicum

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

Ravi P. Agarwal, Jaromír Vosmanský (1985)

Archivum Mathematicum

Necessary and sufficient conditions for the existence of positive solution for singular boundary value problems on time scales.

Feng, Meiqiang, Zhang, Xuemei, Li, Xianggui, Ge, Weigao (2009)

Advances in Difference Equations [electronic only]

Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays

Radhanath N. Rath (2003)

Mathematica Slovaca

Necessary and sufficient conditions for the oscillation a third-order differential equation.

Das, Pitambar, Pati, Jitendra Kumar (2010)

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

Necessary and sufficient conditions for the oscillation of delay differential equations with a piecewise constant argument.

Agwo, H.A. (1998)

International Journal of Mathematics and Mathematical Sciences

Necessary and sufficient conditions for the oscillation of forced nonlinear second order delay difference equation

Ethiraju Thandapani, L. Ramuppillai (1999)

Kybernetika

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 $Δ^{2} y_{n - 1} + q_{n} y_{σ (n)}^{γ} = g_{n}$ , where $γ$ is a quotient of odd positive integers, in the superlinear case $(γ > 1)$ and in the sublinear case $(γ < 1)$ .

Necessary conditions for the multiple integral problem and elliptic variational inequalities

Barbu, Viorel (1982)

Equadiff 5

Necessary conditions of optimality in neutral type optimal problems with non-fixed initial moment.

Gorgodze, N. (2000)

Memoirs on Differential Equations and Mathematical Physics

Necessary Optimality Conditions for a Lotka-Volterra Three Species System

N. C. Apreutesei (2010)

Mathematical Modelling of Natural Phenomena

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.

Chuaqui, M. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

Některé odhady v teorii quasilineární soustavy s jedním stupněm volnosti

Zdeněk Vorel (1961)

Aplikace matematiky

Některé vlastnosti nelineárních obvodu a fyzikální význam jakobiánu

Marcel Jiřina (1973)

Aplikace matematiky

Nelineární vynucené oscilace

Miloš Zlámal (1952)

Časopis pro pěstování matematiky

Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative.

Girg, Petr (2000)