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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 ...
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 ...
Comparison Results for First and Second Order Boundary Value Problems at Resonance
(University of Texas at Arlington, 1982-05)
**Please note that the full text is embargoed** ABSTRACT: It is well known that the comparison principle for the initial value problems has been very useful in the theory of differential equations [1, 2,5]. Recently, such ...
On the Existence of Periodic Quasi Solutions for First Order Systems
(University of Texas at Arlington, 1982-09)
**Please note that the full text is embargoed** ABSTRACT: Recently the method of upper and lower solutions and Lyapunov-Schmitt
method have been fruitfully employed to prove the existence of periodic solutions for scalar ...
Existence and Comparison Results for a Class of Volterra Integral Equations of Sobolev Type
(University of Texas at Arlington, 1978-09)
**Please note that the full text is embargoed** ABSTRACT: Recently [2] a class of new differential equations called Sobolev type differential equations was introduced and Picard type existence theorem for such equations ...
Existence of Extremal Solutions and Comparison Results for Delay Differential Equations in Abstract Cones
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for ordinary differential equations in a Banach space has been extensive [2,4,10]. It is of interest to look
at the corresponding problem ...
Systems by the Method of Quasisolutions
(University of Texas at Arlington, 1981-01)
**Please note that the full text is embargoed** ABSTRACT: Recently [10] the method of lower and upper solutions has been
extended to systems of reaction diffusion equations which has
become very useful in dealing with ...
Quasi-Solutions and Monotone Method for Systems of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1980-02)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for initial and boundary value problems of ordinary differential ...
Existence and Asymptotic Behavior of Reaction-Diffusion Systems Via Coupled Quasi-Solutions
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone ...
Comparison Results for Parabolic Differential Equations at Resonance
(University of Texas at Arlington, 1982-07)
**Please note that the full text is embargoed** ABSTRACT: It is very well known that comparison principles for initial and boundary value problems for nonresonance cases have been very much used in the existence of solutions
...