Showing papers in "Journal of Differential Equations in 1969"

TL;DR: Ordinary differential equations in linear topological space extended from Fattorini investigation, emphasizing use of linear operator was studied in this article, where a linear operator is used for linear operator.

TL;DR: In this paper, the authors considered the traction boundary value problem in the general case where O(U,, ti) may be nonlinear in both u,, zi,.

TL;DR: In this paper, a controllable system (I) is defined as a system that is real continuous on n X n-matrices and can be controlled on any prescribed spectrum.

TL;DR: In this article, an analytic Hamiltonian system of differential equations with two degrees of freedom admits and unstable equilibrium point is considered, and it is shown that the level surfaces of the Hamiltonian function are invariant three dimensional manifold on which all solutions are periodic.

TL;DR: In this paper, the authors considered the problem of determining conditions under which a functional differential equation will have a periodic solution, where the derivatives at time t depend upon values of the solution on the finite time interval [t T, t], where Y is a fixed, positive number.

TL;DR: In this paper, the Fourier exponents of +(x, t) as a function of t and those of cp(t, x0) are clarified, and it is shown that the solution cp( t, x 0) itself is not a continuous flow unless Jl(cp(s, x, t), t) is independent of t, but the result is obtained by means of other continuous flows determined by cp(m, t, m) and m.

TL;DR: In this paper, it is shown that the zero function is not a solution of the solution of a uniform asymptotic stability problem in the case of a single UAV.

TL;DR: In this article, a correction of linear functional differential equations with time delay showing error due to incorrect interchange of order of integration involving Stieltjes integral involving linear functions is presented.

TL;DR: Necessary and sufficient conditions for solution existence to second order boundary value problems, considering second order differential equation involving function of three variables, were given in this paper, where the authors considered the boundary value problem with three variables.

TL;DR: In this paper, the authors develop conditions in terms of Liapunov functions sufficient for the uniqueness of bounded solutions of dynamical systems, and by use of Amerio's theorem they again yield sufficient conditions that such bounded solutions be almost periodic.

TL;DR: In this article, it was shown that the conditions imposed on F(t, X) are not quite sufficient to guarantee that any local solution of (1) can be extended to the entire interval (0, co) and it may therefore seem to use a different definition of nonoscillation.