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Periodic Solution for Nonlinear Delay Equation in Higher Order
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: In recent years, the existence and uniqueness of 2n-period solution
for
(1.1) [see pdf for notation]
where x E Rn, and e(t,u,v) is a given function with 2^-period ...
Monotone Method for Nonlinear Boundary Value Problems Arising in Transport Process
(University of Texas at Arlington, 1981-04)
**Please note that the full text is embargoed** ABSTRACT: Recently, monotone iterative methods have been successfully employed to prove existence of multiple solutions and point-wise bounds on solutions
of nonlinear ...
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such
that ^K C K for every ^ ≥ 0 and ...
Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
On the Fundamental Theory of Nonlinear Second Order Stochastic Boundary Value Problems
(University of Texas at Arlington, 1981)
**Please note that the full text is embargoed** ABSTRACT: A Study of nonlinear second order stochastic boundary value problems (SBVP for short) is initiated through sample calculus approach. A basic existence result for ...
Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation].
Consider the initial value problem (1.1) [see pdf for notation],
where [see pdf for notation]. ...
Fixed Point Theorems for Expanding Maps
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: Suppose (X,d) is a metric space, h > 0 and T: X -> X. We shall use the notation T E E(h) to mean [see pdf for notation] for each x,y E X. If h > 1, then T will be ...
On Approach to Equilibrium in Nonlinear Compartmental Systems
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: A closed compartmental system is a set of nonnegative interdependent functions,
[see pdf for notation]
such that their sum is constant. The functions can represent ...
Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an
equilibrium gives rise to the creation of periodic orbits for a
one parameter family of differential ...
On the Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed**