Results 21 to 30 of about 1,460,019 (255)
Nonoscillation of half-linear dynamic equations
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MATUCCI, SERENA, P. Rehak
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Oscillation of third-order half-linear neutral difference equations [PDF]
The authors give oscillation criteria for the nonlinear neutral difference equations of the third order, \[ \Delta \big ( a_n\,(\Delta ^2(x_n\pm b_nx_{n-\delta }))\big )^{\alpha }+q_n\,x_{n+1-\tau }^{\alpha }=0. \] These criteria present sufficient conditions for the oscillation of every (nontrivial) solution, or the limit of the solution as \(n\to ...
Thandapani, E., Selvarangam, S.
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Summation inequalities and half-linear difference equations
The solutions to the equation under consideration can be divided in some classes of various asymptotic behaviours. The belonging to them can be described by convergence or divergence of a given doubly series of coefficients. The obtained results are completing certain previous ones mentioned in references.
M. CECCHI +3 more
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Half-linear differential equations with oscillating coefficient
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M. CECCHI, Z. DOSLA, MARINI, MAURO
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We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$.
Simona Fišnarová
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Conjugacy and principal solution of generalized half-linear second order differential equations
We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new ...
Ondrej Dosly, J. Reznickova
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Nuts and bolts of supersymmetry
A topological mechanism is a zero elastic-energy deformation of a mechanical structure that is robust against smooth changes in system parameters.
Chen, Bryan Gin-ge +2 more
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Uniqueness of radial solutions for the fractional Laplacian [PDF]
We prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian $(-\Delta)^s$ with $s \in (0,1)$ for any space dimensions $N \geq 1$.
Abdelouhab +38 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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Oscillation of second order half-linear difference equations (I)
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Jiang, Jianchu, Tang, Xianhua
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