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[PDF] Top 20 On Lyapunov type Inequality for a Class of Partial Differential Equations

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On Lyapunov type Inequality for a Class of Partial Differential Equations

On Lyapunov type Inequality for a Class of Partial Differential Equations

... the inequality (3) by applying the Cauchy-Schwarz inequality and integrating by ...of inequality (2), not applying the Cauchy-Schwarz inequality and integrating by parts (see Section ... See full document

5

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document

73

Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays

Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays

... stochastic partial differential equations with delays, there are only a few results about neutral stochastic partial differential ...differential equations with constant delays and some stability ... See full document

15

Optimal Control of a Class of Parabolic Partial Fractional Differential Equations

Optimal Control of a Class of Parabolic Partial Fractional Differential Equations

... [13] M. M. El-Borai, W. G. Elsayed and R. M. Al-Masroub, Exact Solutions for Some Nonlinear Partial Differential Equations via Extended (G'/G) – Expansion Method, Inter. J. Math. Trends and Tech. ... See full document

5

Partial differential equations with piecewise constant delay

Partial differential equations with piecewise constant delay

... In Section 2, the initial value problems IVP are discussed for differential equations with piecewise constant argument EPCA in partial derivatives.. A class of loaded partial differentia[r] ... See full document

12

A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics

A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics

... large class of partial differential ...governing Partial Differential Equation were non-dimensionalised and solved numerically using ...one Partial Differential Equation ... See full document

6

A generalized Lyapunov type inequality in the frame of conformable derivatives

A generalized Lyapunov type inequality in the frame of conformable derivatives

... Remark  If α = , then () reduces to the classical Lyapunov inequality (). We also in- vite the reader to compare the obtained generalized Lyapunov inequality in Theorem  and the one ... See full document

10

Lyapunov type inequality for a fractional differential equation with fractional boundary conditions

Lyapunov type inequality for a fractional differential equation with fractional boundary conditions

... Obviously, if we set α =  in (.), one can obtain the Lyapunov classical inequality (.). In [], the same author studied a differential equation that depends on the Riemann- Liouville fractional ... See full document

10

Fractional operators with exponential kernels and a Lyapunov type inequality

Fractional operators with exponential kernels and a Lyapunov type inequality

... a Lyapunov type inequality for a CFR boundary value problem with order  < α ≤  and then obtained the classical ordinary case when α tends to  from the ...the Lyapunov inequality ... See full document

11

Lyapunov type inequalities for a class of fractional differential equations

Lyapunov type inequalities for a class of fractional differential equations

... In [], Ferreira established a Lyapunov-type inequality for a differential equation that depends on the Riemann-Liouville fractional derivative, i.e., for the boundary value problem.. ua [r] ... See full document

10

Lyapunov type inequalities for a class of even order differential equations

Lyapunov type inequalities for a class of even order differential equations

... For (1.4), there are several literatures having established some Lyapunov-type inequalities. For example, Yang [15,16] and Cakmak [17] have contributed to these interesting results. In the recent article ... See full document

7

A Note on Lyapunov-type Inequalities for Class Offractional Differential Equations

A Note on Lyapunov-type Inequalities for Class Offractional Differential Equations

... Cauchy-Schwarz-type inequality for a fractional boundaryvalue problem of order 𝛼 for 𝛼 ∈ (3, ...Hartman-Wintner-type, Lyapunov-type and Cauchy-Schwarz-type ...Schwarz- ... See full document

5

Lyapunov type inequalities for nonlinear fractional differential equations and systems involving Caputo type fractional derivatives

Lyapunov type inequalities for nonlinear fractional differential equations and systems involving Caputo type fractional derivatives

... A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional ...obtained inequality provides a necessary condition for the ... See full document

15

Meshless numerical analysis of partial differential equations with nonlinear inequality constraints

Meshless numerical analysis of partial differential equations with nonlinear inequality constraints

... nonlinear inequality problem ...nonlinear inequality constraints and has good convergence rate and high computational ...nonlinear inequality problem in Section ... See full document

13

On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations

On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations

... As for almost periodic functions, pseudo-almost periodic functions have many applications in several problems, for example, in theory of functional differential equations, integral equations, and ... See full document

25

Lyapunov type inequalities for the Riemann Liouville fractional differential equations of higher order

Lyapunov type inequalities for the Riemann Liouville fractional differential equations of higher order

... Lyapunov inequality is widely used in investigating the qualitative properties such as oscillation and spectral properties for differential equations and difference equations (see [–] for ... See full document

20

Lyapunov type inequalities for even order differential equations with mixed nonlinearities

Lyapunov type inequalities for even order differential equations with mixed nonlinearities

... The Lyapunov inequality and its generalizations have been used successfully in connec- tion with oscillation and Sturmian theory, asymptotic theory, disconjugacy, eigenvalue problems, and various properties ... See full document

10

Lyapunov type inequalities for mixed non linear forced differential equations within conformable derivatives

Lyapunov type inequalities for mixed non linear forced differential equations within conformable derivatives

... The Lyapunov inequality and its generalizations have been indispensable in the investiga- tion of various topics of differential equations including oscillation theory, stability theory, intervals of ... See full document

17

On multivariate higher order Lyapunov type inequalities

On multivariate higher order Lyapunov type inequalities

... new Lyapunov-type inequalities for a class of even-order partial differential equations; the results of this paper are new which generalize and improve some early results in the ... See full document

7

An improvement of the Lyapunov inequality for certain higher order differential equations

An improvement of the Lyapunov inequality for certain higher order differential equations

... In the last twenty years, a lot of efforts have been made to obtain similar results for higher order differential equations (see [1, 13–17] and the references therein), and other type integral inequalities ... See full document

9

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