Unbounded coefficients

2014 ◽  
pp. 131-144
Author(s):  
Vassili N. Kolokoltsov
Keyword(s):  
Unbounded Coefficients

scholarly journals Correctness conditions for high-order differential equations with unbounded coefficients

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kordan N. Ospanov
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Existence And Uniqueness ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Order Linear Differential Equation ◽  
Unbounded Coefficients ◽  
Weighted Norms ◽  
Uniqueness Of The Solution ◽  
Linear Differential

AbstractWe give some sufficient conditions for the existence and uniqueness of the solution of a higher-order linear differential equation with unbounded coefficients in the Hilbert space. We obtain some estimates for the weighted norms of the solution and its derivatives. Using these estimates, we show the conditions for the compactness of some integral operators associated with the resolvent.

Lyapunov exponents for systems with unbounded coefficients

2013 ◽  
Vol 28 (2) ◽  
pp. 140-153 ◽  
Author(s):  
Adam Czornik ◽  
Michał Niezabitowski
Keyword(s):  
Lyapunov Exponents ◽  
Unbounded Coefficients

scholarly journals Asymptotic Behavior of Solutions of Parabolic Equations with Unbounded Coefficients

1970 ◽  
Vol 37 ◽  
pp. 5-12 ◽  
Author(s):  
Tadashi Kuroda
Keyword(s):  
Asymptotic Behavior ◽  
Euclidean Space ◽  
Parabolic Equations ◽  
Half Line ◽  
Dimensional Euclidean Space ◽  
Asymptotic Behavior Of Solutions ◽  
Unbounded Coefficients ◽  
The Real

Let Rn be the n-dimensional Euclidean space, each point of which is denoted by its coordinate x = (x1,...,xn). The variable t is in the real half line [0, ∞).

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