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Displaying 621 – 640 of 801

Positive solutions of integrodifferential equations.

Philos, Ch.G. (1993)

Journal of Applied Mathematics and Stochastic Analysis

Positive solutions of third order damped nonlinear differential equations

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2011)

Mathematica Bohemica

We study solutions tending to nonzero constants for the third order differential equation with the damping term ${(a_{1} (t) {(a_{2} (t) x^{'} (t))}^{'})}^{'} + q (t) x^{'} (t) + r (t) f (x (ϕ (t))) = 0$ in the case when the corresponding second order differential equation is oscillatory.

Positivity of the Green functions for higher order ordinary differential equations.

Gil', Michael I. (2008)

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

Principal and nonprincipal solutions of symplectic dynamic systems on time scales.

Došlý, Ondřej (2000)

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

Principal solutions and transformations of linear Hamiltonian systems

Ondřej Došlý (1992)

Archivum Mathematicum

Sufficient conditions are given which guarantee that the linear transformation converting a given linear Hamiltonian system into another system of the same form transforms principal (antiprincipal) solutions into principal (antiprincipal) solutions.

Problems with one quarter

Ján Ohriska (2005)

Czechoslovak Mathematical Journal

In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation ${(r (t) u^{'} (t))}^{'} + p (t) u (t) = 0$ are derived. One of them deals with the case $\int^{\infty} \frac{d t}{r (t)} = \infty$ , and the other with the case $\int^{\infty} \frac{d t}{r (t)} < \infty$ .

Propagation des ondes dans les variétés à coins

Gilles Lebeau (1997)

Annales scientifiques de l'École Normale Supérieure

Properties $A$ and $B$ of $n$ th-order linear differential equations with deviating argument.

Koplatadze, R., Kvinikadze, G., Stavroulakis, I.P. (1999)

Georgian Mathematical Journal

Properties of solutions to a second order nonlinear differential equation.

Kroopnick, Allan J. (1990)

International Journal of Mathematics and Mathematical Sciences

Properties of the Nonoscillatory Solution for a Third Order Nonlinear Differential Equation

Jozef Eliáš (1970)

Matematický časopis

Property (A) of advanced functional-differential equations

Jozef Džurina (1995)

Mathematica Slovaca

Property (A) of $n$ -th order ODE’s

Jozef Džurina (1997)

Mathematica Bohemica

The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation L_nu(t)+p(t)u(t)=0.

Property $A$ of the ${(n + 1)}^{t h}$ order differential equation ${[\frac{1}{r_{1} (t)} (x^{(n)} (t) + p (t) x (t))]}^{'} = f (t, x (t), \dots, x^{(n)} (t))$

Monika Kováčová (2000)

Archivum Mathematicum

Property (A) of the $n$ -th order differential equations with deviating argument

Vincent Šoltés (1995)

Archivum Mathematicum

The equation to be considered is $L_{n} y (t) + p (t) y (τ (t)) = 0 .$ The aim of this paper is to derive sufficient conditions for property (A) of this equation.

Property $(A)$ of third order differential equations with deviating argument

Jozef Džurina (1995)

Mathematica Slovaca

Property (B) of differential equations with deviating argument

Jozef Džurina (1994)

Archivum Mathematicum

The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation $L_{n} u (t) - p (t) u (τ (t)) = 0,$ from the oscillation of a set of the first order delay equations.

Quadratic functionals: positivity, oscillation, Rayleigh's principle

Werner Kratz (1998)

Archivum Mathematicum

In this paper we give a survey on the theory of quadratic functionals. Particularly the relationships between positive definiteness and the asymptotic behaviour of Riccati matrix differential equations, and between the oscillation properties of linear Hamiltonian systems and Rayleigh’s principle are demonstrated. Moreover, the main tools form control theory (as e.g. characterization of strong observability), from the calculus of variations (as e.g. field theory and Picone’s identity), and from matrix...

Quadratic functionals with a variable singular end point

Zuzana Došlá, PierLuigi Zezza (1992)

Commentationes Mathematicae Universitatis Carolinae

In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.

Quadratic functionals with Euler’s equation ${(p y^{'})}^{'} + q y = 0$

Jaroslav Krbiľa (1974)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Quadratic phases of differential equations $y^{''} = q (t) y$

Erich Barvínek (1972)

Archivum Mathematicum

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