Property (B) of differential equations with deviating argument
The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation from the oscillation of a set of the first order delay equations.
Property C for ODE and Applications to an Inverse Problem for a Heat Equation
Let , k = const > 0, j = 1,2, . Suppose that (*) for all k > 0, where p is an arbitrary fixed bounded piecewise-analytic function on [0,1], which changes sign finitely many times, and solves the problem , 0 ≤ x ≤ 1, , . It is proved that (*) implies p = 0. This result is applied to an inverse problem for a heat equation.
Property C for ordinary differential equations and applications to inverse scattering.
Propriétés algébriques des opérateurs d'Airy de petit ordre
Propriétés asymptotiques d'un système d'équations différentielles
Propriétés des intégrales des équations différentielles linéaires à coefficients variables
Prüfer transformation for the -Laplacian.
Pružné kyvadlo pohledem teorie dynamických systémů
Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations
In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
Pseudo almost periodic solutions to some differential equations with infinite delay.
Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces
In this paper, for the impulsive fractional integro-differential equations involving Caputo fractional derivative in Banach space, we investigate the existence and uniqueness of a pseudo almost periodic -mild solution. The working tools are based on the fixed point theorems, the fractional powers of operators and fractional calculus. Some known results are improved and generalized. Finally, existence and uniqueness of a pseudo almost periodic -mild solution of a two-dimensional impulsive fractional...
Pseudo almost-periodic solution of shunting inhibitory cellular neural networks with delay.
Pseudo-abelian integrals on slow-fast Darboux systems
We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.
Pseudo-integral of differential equations of the n-th order
Psi-bounded solutions for linear differential systems with Lebesgue psi-integrable functions on R as right-hand sides.
Psi-series of quadratic vector fields on the plane.
Psi-series (i.e., logarithmic series) for the solutions of quadratic vector fields on the plane are considered. Its existence and convergence is studied, and an algorithm for the location of logarithmic singularities is developed. Moreover, the relationship between psi-series and non-integrability is stressed and in particular it is proved that quadratic systems with psi-series that are not Laurent series do not have an algebraic first integral. Besides, a criterion about non-existence of an analytic...
P-Stability Properties of Runge-Kutta Methods for Delay Differential Equations.
Pullback incremental attraction
A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
Pure imaginary solutions of the second Painlevé equation.