scholarly journals A Lyapunov type inequality for indefinite weights and eigenvalue homogenization

2015 ◽  
Vol 144 (4) ◽  
pp. 1669-1680 ◽  
Author(s):  
Julián Fernández Bonder ◽  
Juan Pablo Pinasco ◽  
Ariel Martin Salort
Keyword(s):  
Type Inequality ◽  
Indefinite Weights ◽  
Lyapunov Type Inequality

Lyapunov-type inequality for quasilinear systems

2012 ◽  
Vol 219 (4) ◽  
pp. 1670-1673 ◽  
Author(s):  
Xiaojing Yang ◽  
Yong-In Kim ◽  
Kueiming Lo
Keyword(s):  
Type Inequality ◽  
Quasilinear Systems ◽  
Lyapunov Type Inequality

scholarly journals The Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for CFR Fractional Differential Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Xia Wang ◽  
Run Xu
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Type Inequality ◽  
Uniqueness Theorems ◽  
Initial Value ◽  
Uniqueness Of Solutions ◽  
Maximum Value ◽  
Fractional Differential ◽  
Lyapunov Type Inequality

In this paper, we research CFR fractional differential equations with the derivative of order 3<α<4. We prove existence and uniqueness theorems for CFR-type initial value problem. By Green’s function and its corresponding maximum value, we obtain the Lyapunov-type inequality of corresponding equations. As for application, we study the eigenvalue problem in the sense of CFR.

On the Lyapunov Type Inequality

2020 ◽  
Vol 64 (6) ◽  
pp. 16-23
Author(s):  
A. O. Ignatiev
Keyword(s):  
Type Inequality ◽  
Lyapunov Type Inequality
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