Oscillations of Third Order Half Linear Neutral Differential Equations
In this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+
Baghdad Science Journal
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Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions [PDF]
We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems" for which it is necessary to determine both the homogenized equation and ...
Barles, Guy +3 more
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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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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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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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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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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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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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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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