Results 31 to 40 of about 1,458,239 (269)
Local estimates for modified Riccati equation in theory of half-linear differential equation
In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Half-trek criterion for generic identifiability of linear structural equation models [PDF]
A linear structural equation model relates random variables of interest and corresponding Gaussian noise terms via a linear equation system. Each such model can be represented by a mixed graph in which directed edges encode the linear equations and ...
Draisma, Jan +2 more
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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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Asymptotic formulas for solutions of half-linear Euler-Weber equation
We establish improved asymptotic formulas for nonoscillatory solutions of the half-linear Euler-Weber type differential equation $$ (\Phi(x'))'+\left[\frac{\gamma_p}{t^p}+\frac{\mu_p}{t^p\log^2 t}\right]\Phi(x)=0, \quad \Phi(x):=|x|^{p-2}x,\quad p>1 ...
Zuzana Pátíková
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Half-linear differential equations with oscillating coefficient
n ...
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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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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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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