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On the Method of Vector Lyapunov Functions
(University of Texas at Arlington, 1974-09)
**Please note that the full text is embargoed** ABSTRACT: The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general ...
Differential Inequalities and Flow-Invariance via Linear Functionals
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the ...
Stability of Differential Systems with Impulsive Perturbations in Terms of Two Measures
(University of Texas at Arlington, 1977-01)
**Please note that the full text is embargoed** ABSTRACT: The study of differential systems of the form
(1.1) [see pdf for notation]
where [see pdf for notation] denotes the distributional derivative of [see pdf for ...
On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools ...
On the Zeros of Monotone Operators of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-09)
**Please note that the full text is embargoed** ABSTRACT: Recent interest in the Cauchy problem for differential equations in a Banach space [9] has stimulated a similar interest for differential equations of a retarded ...
Problems at Resonance for First and Second Order Differential Equations Via Lyapunov-Like Functions
(University of Texas at Arlington, 1982-04)
**Please note that the full text is embargoed** ABSTRACT: Recently [7,8,10] an attempt is made successfully to combine the two basic techniques namely, Lyapunov-Schmidt method and the method of upper and lower solutions, ...
Existence and Comparison Results for Differential Equations of Sobolev Type
(University of Texas at Arlington, 1978-12)
**Please note that the full text is embargoed** ABSTRACT: Recently a new class of differential equations, called
differential equations of Sobolev type was studied in [4]
in which an existence theorem of Picards type ...
Periodic Solutions of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1980-04)
**Please note that the full text is embargoed** ABSTRACT: One of the well known techniques in the theory of nonlinear boundary value problems (BVP) is the method of differential inequalities or the method of upper and lower ...
Existence and Uniqueness of Solutions of Delay Differential Equations on a Closed Subset of a Banach Space
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: In an earlier work [5], sufficient conditions for the existence of solutions in a closed subset F of a Banach space E for the Cauchy problem
(1.1) [see pdf for ...