Properties of eigenfunctions of non-local operators
Properties of non-hermitian quantum field theories
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties. I discuss...
Properties of solutions of quaternionic Riccati equations
In this paper we study properties of regular solutions of quaternionic Riccati equations. The obtained results we use for study of the asymptotic behavior of solutions of two first-order linear quaternionic ordinary differential equations.
Properties of solutions of the differential equation xx'' - kx'...+ f(x) = 0.
Properties of solutions to a generalized Liénard equation with forcing term.
Properties of solutions to a second order nonlinear differential equation.
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 scattering map.
Properties of the scattering map II.
Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities
The paper investigates the structure and properties of the set S of all positive solutions to the singular Dirichlet boundary value problem u″(t) + au′(t)/t − au(t)/t 2 = f(t, u(t),u′(t)), u(0) = 0, u(T) = 0. Here a ∈ (−∞,−1) and f satisfies the local Carathéodory conditions on [0,T]×D, where D = [0,∞)×ℝ. It is shown that S c = {u ∈ S: u′(T) = −c} is nonempty and compact for each c ≥ 0 and S = ∪c≥0 S c. The uniqueness of the problem is discussed. Having a special case of the problem, we introduce...
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.
Properties of third-order nonlinear functional differential equations with mixed arguments.
Property (A) of advanced functional-differential equations
Property (A) of -th order ODE’s
The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation L_nu(t)+p(t)u(t)=0.
Property of the order differential equation
Property (A) of the -th order differential equations with deviating argument
The equation to be considered is The aim of this paper is to derive sufficient conditions for property (A) of this equation.
Property of third order differential equations with deviating argument