Strong solutions for some nonlinear partial functional differential equations with infinite delay.
Structure of stable solutions of a one-dimensional variational problem
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher order variational problem. The results extend and complement an earlier work of Stefan Müller which concerns the structure of global minimizer. The energy functional studied in this work is motivated by the investigation of coherent solid phase transformations and the competition between the effects from regularization and formation of small scale structures. With a special choice of a bilinear double...
Structured polynomial eigenproblems related to time-delay systems.
Study of a complete abstract differential equation of elliptic type with variable operator coefficients, I.
Study of Stability in Nonlinear Neutral Differential Equations with Variable Delay Using Krasnoselskii–Burton’s Fixed Point
In this paper, we use a modification of Krasnoselskii’s fixed point theorem introduced by Burton (see [Burton, T. A.: Liapunov functionals, fixed points and stability by Krasnoseskii’s theorem. Nonlinear Stud., 9 (2002), 181–190.] Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equation with variable delay The stability of the zero solution of this eqution provided that . The Caratheodory condition is used for the functions and .
Study of the limit of transmission problems in a thin layer by the sum theory of linear operators.
Sturm's theorem for equations with delayed argument.
Successive Approximation of Neutral Functional Stochastic Differential Equations in Hilbert Spaces
By using successive approximation, we prove existence and uniqueness result for a class of neutral functional stochastic differential equations in Hilbert spaces with non-Lipschitzian coefficients
Sufficient and necessary conditions for oscillation of th-order differential equation with retarded argument.
Sufficient conditions for nonoscillation of neutral equations
Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument
Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.
Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument.
Sufficient conditions for oscillatory behaviour of a first order neutral difference equation with oscillating coefficients.
Sufficient conditions for the oscillation of -th order nonlinear delay differential equation
Sufficient conditions for the oscillation of the solutions to a class of impulsive differential equations with advanced argument.
Sufficient conditions for the oscillation to bounded solutions of a class of impulsive differential equations of second order with a constant delay.
Sulle equazioni paraboliche semilineari di ordine arbitrario in uno spazio di Banach
Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence
We construct time quasi-periodic solutions and prove almost global existence for the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. The main new ingredient is a geometric selection in the Fourier space. This method is applicable to other nonlinear equations.
Sur la stabilité asymptotique de la solution d'un système d'équations différentielles à paramètre retardé
Sur le pilotage dans un champ de forces répulsives