Oscillation in linear differential equations
Oscillation of a logistic equation with delay and diffusion
This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.
Oscillation of Bôcher's pairs with respect to halflinear second order diff. equ.-s
Oscillation of nonlinear impulsive hyperbolic equations with several delays.
Oscillation of solutions for forced nonlinear neutral hyperbolic equations with functional arguments.
Oscillation of solutions for systems of hyperbolic equations of neutral type.
Oscillation of solutions to a higher-order neutral PDE with distributed deviating arguments.
Oscillation of systems of certain neutral delay parabolic differential equations.
Oscillation of the solution to a singular differential equation.
Oscillation properties for parabolic equations of neutral type
The oscillation of the solutions of linear parabolic differential equations with deviating arguments are studied and sufficient conditions that all solutions of boundary value problems are oscillatory in a cylindrical domain are given.
Oscillation theorems and nodes of eigenfunctions of certain differential equations of the fourth order
Oscillation theory of higher-order ordinary and functional differential equations with forcing terms
Oscillation theory of self-adjoint equations and some its applications
Oscillations and concentrations generated by -free mappings and weak lower semicontinuity of integral functionals
DiPerna's and Majda's generalization of Young measures is used to describe oscillations and concentrations in sequences of maps satisfying a linear differential constraint . Applications to sequential weak lower semicontinuity of integral functionals on -free sequences and to weak continuity of determinants are given. In particular, we state necessary and sufficient conditions for weak* convergence of det in measures on the closure of if in . This convergence holds, for example, under...
Oscillations and concentrations in sequences of gradients
We use DiPerna’s and Majda’s generalization of Young measures to describe oscillations and concentrations in sequences of gradients, , bounded in if and is a bounded domain with the extension property in . Our main result is a characterization of those DiPerna-Majda measures which are generated by gradients of Sobolev maps satisfying the same fixed Dirichlet boundary condition. Cases where no boundary conditions nor regularity of are required and links with lower semicontinuity results...
Oscillations and concentrations in sequences of gradients
We use DiPerna's and Majda's generalization of Young measures to describe oscillations and concentrations in sequences of gradients, , bounded in if p > 1 and is a bounded domain with the extension property in . Our main result is a characterization of those DiPerna-Majda measures which are generated by gradients of Sobolev maps satisfying the same fixed Dirichlet boundary condition. Cases where no boundary conditions nor regularity of Ω are required and links with lower semicontinuity...
Oscillations fortes sur un champ linéairement dégénéré
Oscillations non linéaires des systèmes hyperboliques : méthodes et résultats qualitatifs
Oscillations of a nonlinearly damped extensible beam
It is proved that any weak solution to a nonlinear beam equation is eventually globally oscillatory, i.e., there is a uniform oscillatory interval for large times.
Oscillations of anharmonic Fourier series and the wave equation.
In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of⎧ utt + (-1)m Δmu = 0 (t,x) ∈ R x Ω⎨⎩ u|Γ = ... = Δm-1 u|Γ = 0 t ∈ R.These results rely on the study of a sign of almost periodic functions of a special form restricted to a bounded interval J.