Showing papers in "Journal of Differential Equations in 1968"

TL;DR: LaSalle stability theorems refined for ordinary differential equations, discussing classical Liapunov results on system stability were discussed in this article, where they were refined for the case of continuous systems.

TL;DR: Stability of stochastic processes defined by difference differential equations, noting properties of solution, weak infinitesimal operator, etc. as discussed by the authors, and the properties of the solution of the difference differential equation.

TL;DR: In this paper, the qualitative behavior of solutions near the origin when E > 0 has been investigated in the Euclidean space ZP(n > 2), where the origin x = 0 is an equilibrium point of (*) for all E ≥ 0.

TL;DR: Differential operators and adjoints defined on Hilbert space of n x 1 matrices under integral and multiple point boundary conditions were defined in this paper under the multiple-point boundary condition.

TL;DR: Periodic solutions to plane three body problem obeying Newton gravitation law applied to earth-moon-sun system were proposed in this article, where the authors considered the plane-three body problem with respect to the Earth-Moon-Sun system.

TL;DR: Time optimal control for nonlinear systems, expressing optimal control law as function of state variables is studied in this paper, where the state variables are represented as a set of state vectors.

TL;DR: In this paper, the authors consider the problem of determining the appropriate length of the tube of a tubular reaction reaction in an adiabatic tube, where the reactants are admitted at one end of a tube in a continuous stream and the products of the reaction are withdrawn at the other end.

TL;DR: In this paper, the authors derived anew Bendixson's fundamental result, but gave a precise method for the detection of the collections C, with some collapsed transformations, based on the Weierstrass preparation theorem plus a special choice of coordinate system.

TL;DR: Periodic solutions for functional differential equations with time lag, developing bifurcation theory representing delay equation extension are discussed in this article, where the authors propose a method to find the optimal solution for each functional differential equation.

TL;DR: In this paper, it was shown that no nontrivial sufficient conditions seem to be known for equations of order higher than 4 if I is an interval (a, co) (the case of principal interest).

TL;DR: Bircheroff as discussed by the authors gave a modification of Poincare's theorem for the restricted three-body problem and proved the existence of fixed points of an area preserving transformation of a ring.

TL;DR: In this article, it was shown that Sell's concept of uniform stability is stronger than the equiasymptotic stability and that for a periodic system, the concept for uniform stability of a bounded solution is equivalent to the usual concept, and consequently we have a periodic solution of period w under the assumption that a bounded solutions is uniformly asymptotically stable.