ANISOTROPIC PICONE IDENTITIES FOR HALF LINEAR CONFORMABLE ELLIPTIC EQUATIONS [PDF]
This study is devoted to investigating the anisotropic picone identities for half-linear Conformable elliptic equations and the Hardy-type inequality. Further, we provide some results for the nonlinear analogue to Picone identity.
N. Sasikala, V. Sadhasivam
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R-deformed Heisenberg algebra, anyons and d=2+1 supersymmetry [PDF]
A universal minimal spinor set of linear differential equations describing anyons and ordinary integer and half-integer spin fields is constructed with the help of deformed Heisenberg algebra with reflection. The construction is generalized to some d=2+1
Plyushchay, Mikhail
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A precise asymptotic description of half‐linear differential equations
AbstractWe study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
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Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations
This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha +2 more
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Oscillation of second order half-linear difference equations (I)
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Jianchu, Tang, Xianhua
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Euler Type Half-Linear Differential Equation with Periodic Coefficients [PDF]
We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H. Funková (2012) remain to hold when constants in perturbation terms are replaced by periodic functions.
Došlý, Ondřej, Funková, Hana
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients
We establish nonoscillation criterion for the even order half-linear differential equation (−1)nfn(t)Φx(n)(n)+∑l=1n(−1)n−lβn−lfn−l(t)Φx(n−l)(n−l)=0, where β0,β1,…,βn−1 are real numbers, n∈N, Φ(s)=sp−1sgns for s∈R, p∈(1,∞) and fn−l is a regularly varying (
Vojtěch Růžička
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Asymptotic formulas for nonoscillatory solutions of conditionally oscillatory half-linear equations
We establish asymptotic formulas for nonoscillatory solutions of a special conditionally oscillatory half-linear second order differential equation, which is seen as a perturbation of a general nonoscillatory half-linear differential equation $$ (r(t ...
Z. Pátíková
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Lyapunov-type inequalities for higher-order half-linear difference equations
In this paper, we will establish some new Lyapunov-type inequalities for some higher-order superlinear–sublinear difference equations with boundary conditions.
Haidong Liu
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SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
The most general Lagrangian for non-linear electrodynamics coupled to an axion $a$ and a dilaton $\phi$ with $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion is $$ -\half\left(\nabla\phi\right)^2 - \half e^{2\phi}\left(\nabla a\right)^2 ...
Born +6 more
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