Showing papers in "Journal of Differential Equations in 1971"

TL;DR: In this paper, the existence and uniqueness theorems for stochastic evolution equations are developed in a Hilbert space context, based on a blending of the theoremologies for evolution equations with stochiastic integration for Hilbert space valued random processes.

TL;DR: In this article, Liapunov stability properties of solution to a certain system of Volterra integrodifferential equations are studied, and sufficient conditions for uniform stability and uniform asymptotic stability are derived in the form of a theorem.

TL;DR: In this paper, the authors study invariance in the framework of the theory of processes, which is a direct generalization of the concept of a topological dynamical system.

TL;DR: In this paper, a necessary and sufficient condition for the existence of periodic solutions in nonlinear functional differential equations is given. But this condition is not applicable to functional differential equation without time lags.

TL;DR: In this article, it is shown that the qualitative behavior of solutions off the set of singularities is the same for both vector fields and that it is possible to regularize the three body problem on surfaces of nonzero angular momentum using the present methods.

TL;DR: In this paper, the authors characterized the surfaces of constant momentum, angular momentum, and energy occuring in the planar 3-body problem for arbitrary masses, assuming for simplicity that the three bodies have equal masses.

TL;DR: In this paper, a function y E C':[[t,, co), R] which satisfies (1.1) is called oscillatory if it is eventually of constant sign.

TL;DR: Neutral functional equation including scalar differential-difference equation, determining sufficient conditions for zero solution as mentioned in this paper, which is the only known solution of the neutral functional equation with a zero solution.

TL;DR: In this paper, the authors define a multi-valued differential Df and prove that if all solutions of the multivalued differential equation u′ ϵ Df(u) approach zero as t → ∞, then all solutions x(·) of x′ = ƒ(x) with small |x(0)| approach zero exponentially as t→ ∞.

TL;DR: In this article, a function f (t, x) defined in a set D C J x Rn and with values in Rn, is said to be quasimonotone increasing in x if each component fi( t, x1,..., xn) is weakly increasing in Xj for i # j.

TL;DR: The existence, uniqueness, and behavior of solutions of (l, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 60,