On linear differential equations involving a para-Grassmann variable.
On linear differential equations of higher odd order
On linear differential equations with transformed argument solvable by means of right invertible operators
On linear problems in the space BV
On linear singular functional-differential equations in a functional space.
On Lipschitz conditions for ordinary differential equations in Fréchet spaces
We will give an existence and uniqueness theorem for ordinary differential equations in Fréchet spaces using Lipschitz conditions formulated with a generalized distance and row-finite matrices.
On local -times integrated -semigroups.
On lopsided systems.
On lower and upper solutions without ordering on time scales.
On lower-semicontinuity of variational integrals
On Lyapunov stability in hypoplasticity
We investigate the Lyapunov stability implying asymptotic behavior of a nonlinear ODE system describing stress paths for a particular hypoplastic constitutive model of the Kolymbas type under proportional, arbitrarily large monotonic coaxial deformations. The attractive stress path is found analytically, and the asymptotic convergence to the attractor depending on the direction of proportional strain paths and material parameters of the model is proved rigorously with the help of a Lyapunov function....
On Lyapunov stability of linear systems of generalized ordinary differential equations.
On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point
We discuss Lyapunov stability/instability of both lower and upper equilibria of free damped pendulum with periodically oscillating suspension point. We recall the results of Bogolyubov and Kapitza, provide new effective criteria of stability/instability of the equilibria of pendulum equation, and give the exact and complete proofs. The criteria obtained are formulated in terms of positivity/negativity of Green's functions of the periodic boundary value problems for linearized equations. Furthermore,...
On Lyapunov transformations of linear systems of implicit differential equations
On matched asymptotic analysis for laminar channel flow with a turning point.
On Mawhin's continuation principles.
On Max Muller's existence-comparison theorem for infinite systems of ordinary differential equations
On measures of noncompactness in Banach spaces
On measures of noncompactness in topological vector spaces
On meromorphic solutions of a certain class of functional-differential equations