scholarly journals A global existence theorem for a nonautonomous differential equation in a Banach space

1972 ◽  
Vol 35 (2) ◽  
pp. 445-445 ◽  
Author(s):  
David Lowell Lovelady ◽  
Robert H. Martin
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Global Existence ◽  
Existence Theorem ◽  
Nonautonomous Differential Equation ◽  
Global Existence Theorem

scholarly journals GLOBAL REGULAR SOLUTION FOR THE EINSTEIN-MAXWELL-BOLTZMANN-SCALAR FIELD SYSTEM IN A BIANCHI TYPE-I SPACE-TIME

2017 ◽  
Vol 13 (1) ◽  
pp. 7087-7118 ◽  
Author(s):  
Noutchegueme Norbert
Keyword(s):  
Scalar Field ◽  
Global Existence ◽  
Cosmological Constant ◽  
Existence Theorem ◽  
Regular Solution ◽  
Existence And Uniqueness ◽  
Bianchi Type ◽  
Type I ◽  
Field System ◽  
Global Existence Theorem

We prove an existence and uniqueness of regular solution to the Einstein-Maxwell-Boltzmann-Scalar Field system with pseudo-tensor of pressure and the cosmological constant globaly in time. We clarify the choice of the function spaces and we establish step by step all the essential energy estimations leading to the global existence theorem.

scholarly journals An existence theorem for ordinary differential equations in Banach spaces

1984 ◽  
Vol 30 (3) ◽  
pp. 449-456 ◽  
Author(s):  
Bogdan Rzepecki
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Regularity Condition ◽  
Measure Of Noncompactness ◽  
Bounded Solution ◽  
Carathéodory Conditions

We prove the existence of bounded solution of the differential equation y′ = A(t)y + f(t, y) in a Banach space. The method used here is based on the concept of “admissibility” due to Massera and Schäffer when f satisfies the Caratheodory conditions and some regularity condition expressed in terms of the measure of noncompactness α.

A global existence theorem for the nonlinear BGK equation

1989 ◽  
Vol 55 (5-6) ◽  
pp. 1313-1321 ◽  
Author(s):  
William Greenberg ◽  
Jacek Polewczak
Keyword(s):  
Global Existence ◽  
Existence Theorem ◽  
Bgk Equation ◽  
Global Existence Theorem
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