perturbations in delay differential equations.
Landau-type inequalities and -bounded solutions of neutral delay systems.
Langenhop's inequality and applications for dynamic equations.
Laplace type operators: Dirichlet problem
We investigate Laplace type operators in the Euclidean space. We give a purely algebraic proof of the theorem on existence and uniqueness (in the space of polynomial forms) of the Dirichlet boundary problem for a Laplace type operator and give a method of determining the exact solution to that problem. Moreover, we give a decomposition of the kernel of a Laplace type operator into -irreducible subspaces.
L'existence d'une solution périodique d'une équation différentielle dans le cas où le second membre de l'équation n'est pas monotone par rapport à x
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.
Liénard type -Laplacian neutral Rayleigh equation with a deviating argument.
Limits of inner superposition operators and Young measures.
Linear and structural stability of a cell division process model.
Linear boundary value type problems for functional-differential equations and their adjoints
Linear delay differential equation with a positive and a negative term.
Linear differential equations with coefficients in a field I.
Linear differential equations with several unbounded delays
Linear differential equations with unbounded delays and a forcing term.
Linear FDEs in the frame of generalized ODEs: variation-of-constants formula
We present a variation-of-constants formula for functional differential equations of the form where is a bounded linear operator and is a regulated function. Unlike the result by G. Shanholt (1972), where the functions involved are continuous, the novelty here is that the application is Kurzweil integrable with in an interval of , for each regulated function . This means that may admit not only many discontinuities, but it can also be highly oscillating and yet, we are able to obtain...
Linear functional differential equations possessing solutions with a given growth rate.
Linear problems for systems of difference equations
Linear random boundary value problems containing weakly correlated forcing functions.
Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry
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.