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.
Linearizability of a polynomial system
Linearization and higher order nonlinear oscillation theorems using comparison methods.
Linearization Of Nonlinear Differential Equations: Third Order Nonlinear Ordinary Differential Equations Equivalent To Linear Second Order Equations
Linearization of second-order ordinary differential equations by generalized Sundman transformations.
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
Linking method for periodic non-autonomous fourth-order differential equations with superquadratic potentials.
Liouville type results for periodic and almost periodic linear operators
Liouvillian first integrals of second order polynomial differential equations.
Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
Local Bifurcations in a Nonlinear Model of a Bioreactor
This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008.We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations in the computer algebra...
Local integrating factors.
Local invariance via comparison functions.
Local method of nonlinear analysis
Local models of the greatest characteristic exponent of differential equations depending on parameters
Localization of periodic orbits of autonomous systems based on high-order extremum conditions.
Logarithmic derivatives of solutions of disconjugate differential equations
Long term behavior of solutions for Riccati initial-value problems.