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Lyapunov-Type Inequalities

On Lyapunov type inequalities for \((p,q)\) Laplacian systems

On Lyapunov type inequalities for \((p,q)\) Laplacian systems

... where p = p– p and q = q– q . Some nice applications to generalized eigenvalues are also presented in []. Different generalizations and extensions of inequality () were obtained by many authors. In this direction, we ...

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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

... Inequality (1.5) has found many practical applications in the theory of differential equa- tions (see, for example, [2, 5, 22, 32, 34] and the references therein). For more improve- ments and generalizations of (1.5), we ...

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On Lyapunov type inequalities for odd order boundary value problems

On Lyapunov type inequalities for odd order boundary value problems

... some Lyapunov-type inequalities for higher order problems ...best Lyapunov constant is obtained by taking the absolute maximum of the Green’s ...functions. Lyapunov-type ...

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Lyapunov type inequalities for quasilinear elliptic equations with Robin boundary condition

Lyapunov type inequalities for quasilinear elliptic equations with Robin boundary condition

... Here, we also note that in the study Cañada et al. they proved that the relation between the p and N  plays a crucial role. They also considered the equation in (.) with zero Dirichlet boundary condition. They ...

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Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions

Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions

... some Lyapunov-type inequalities for different classes of fractional boundary value problems (see ...a Lyapunov-type in- equality for the fractional boundary value ...

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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

... corresponding Lyapunov type inequalities. On the other hand, Lyapunov type inequalities of the fractional differential equations are studied by more and more researchers, see [– ...

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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 study of this problem on various types of differential and difference equations over the last years has resulted in different versions of Lyapunov-type inequalities; the reader may consult the ...

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Lyapunov type inequalities for certain higher order difference equations with mixed non linearities

Lyapunov type inequalities for certain higher order difference equations with mixed non linearities

... continuous Lyapunov-type in- equalities, there is not much done for discrete Lyapunov-type inequalities (see [6, 13, 21, 29, 39, 59] and the references ...

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

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

... "Lyapunov-type inequalities for a class of fractional differential equations", the authors have established the Lyapunov-type inequality for fractional boundary value problem of ...

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Lyapunov type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative

Lyapunov type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative

... the Lyapunov-type inequality for sequential Hilfer fractional boundary value ...establish Lyapunov-type inequalities for a sequential Hilfer fractional differential equation with two ...

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Lyapunov type inequalities for an anti periodic fractional boundary value problem involving ψ Caputo fractional derivative

Lyapunov type inequalities for an anti periodic fractional boundary value problem involving ψ Caputo fractional derivative

... to Lyapunov- type inequalities, see, for example, [3, 5, 16, 18, 19, 21] and the references ...of Lyapunov-type inequalities was extended to fractional boundary value problems by ...

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Lyapunov type inequalities for 2M th order equations under clamped free boundary conditions

Lyapunov type inequalities for 2M th order equations under clamped free boundary conditions

... Later, Das and Vatsala [] gave the proof and extended the result by constructing the Green function. Other interesting developments for higher-order equations are seen in [–]. For example, as shown in Yang [], ...

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Lyapunov type inequalities for even order differential equations with mixed nonlinearities

Lyapunov type inequalities for even order differential equations with mixed nonlinearities

... the Lyapunov type inequalities have been studied by many au- thors, see for instance the survey paper [] and the references therein, but to the best of our knowledge there are no results in the ...

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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 ...

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Lyapunov type inequalities and disconjugacy for some nonlinear difference system

Lyapunov type inequalities and disconjugacy for some nonlinear difference system

... new Lyapunov-type inequalities for some nonlinear difference system when the end-points are not necessarily usual zeros, but rather generalized ...

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Lyapunov type inequalities for a fractional p Laplacian equation

Lyapunov type inequalities for a fractional p Laplacian equation

... The paper is organized as follows. In Section , we recall some basic concepts on frac- tional calculus and establish some preliminary results that will be used in Section , where we state and prove our main result. In ...

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Lyapunov Type Inequalities for Conformable BVP

Lyapunov Type Inequalities for Conformable BVP

... new Lyapunov-type inequalities for conformable BVP with the conformable derivative of order 1 < ≤ α 2 and 2 < ≤ α 3 ...about Lyapunov-type inequalities for conformable ...

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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 ...

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On Lyapunov type inequalities for fourth order linear differential equations

On Lyapunov type inequalities for fourth order linear differential equations

... In this paper, we introduce new Lyapunov-type inequalities for fourth order linear di¤erential equations under the third-point and four-point boundary conditions. The result for four-point boundary ...

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On Lyapunov Type Inequalities for Two Dimensional Nonlinear Partial Systems

On Lyapunov Type Inequalities for Two Dimensional Nonlinear Partial Systems

... Zhou, “Lyapunov inequality for linear Hamiltonian systems on time scales,” Journal of Mathematical Analysis and Applications, vol.. Kaymakçalan, “Lyapunov inequalities for discrete line[r] ...

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