Levin's comparison theorems for second order nonlinear differential equations and inequalities
Liapunov-type inequality for delay-differential equations of third order
A Liapunov-type inequality for a class of third order delay-differential equations is derived.
Liapunov-type integral inequalities for certain higher-order differential equations.
Limit and integral properties of principal solutions for half-linear differential equations
Some asymptotic properties of principal solutions of the half-linear differential equation
Limit behavior of solutions of ordinary linear differential equations.
Limit Circle Results for Second Order Equations.
Linear differential equations of the second order with elementary basic central dispersions
Linear perturbations of general disconjugate equations
Linearisation of second-order differential equations.
Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.
Linearization and higher order nonlinear oscillation theorems using comparison methods.
Linearized comparison criteria for a nonlinear neutral differential equation
A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.
Lineárne homogénne diferenciálne rovnice druhého rádu rýdzo diskonjugované vzhľadom na derivácie
Logarithmic derivatives of solutions of disconjugate differential equations
Lp-Perturbations of Second Order Linear Differential Equations.
Lyapunov type inequalities for a second order differential equation with a damping term
For a second order differential equation with a damping term, we establish some new inequalities of Lyapunov type. These inequalities give implicit lower bounds on the distance between zeros of a nontrivial solution and also lower bounds for the spacing between zeros of a solution and/or its derivative. We also obtain a lower bound for the first eigenvalue of a boundary value problem. The main results are proved by applying the Hölder inequality and some generalizations of Opial and Wirtinger type...
Lyapunov type integral inequalities for certain differential equations.
Lyapunov-type inequality for higher-order differential equations