Properties of solutions of the differential equation xx'' - kx'...+ f(x) = 0.
Properties of the Lp-solutions of linear impulsive equations in a Banach space. (Summary).
Properties of the Lp-solutions of linear impulsive equations in a Banach space.
Properties of the Nonoscillatory Solution for a Third Order Nonlinear Differential Equation
Properties of the solution map for a first order linear problem.
Properties of the solution of evolution inclusions driven by time dependent subdifferentials
In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.
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.
Propriétés asymptotiques d'un système d'équations différentielles
Propriétés des intégrales des équations différentielles linéaires à coefficients variables
Prüfer transformation for the -Laplacian.
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-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...