Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions
In this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the nonexistence criteria of Kneser solutions, we establish the criteria for oscillation that take into account the ...
Ali Muhib +2 more
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation.
Osama Moaaz +2 more
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Dynamics of the Tippe Top -- properties of numerical solutions versus the dynamical equations [PDF]
We study the relationship between numerical solutions for inverting Tippe Top and the structure of the dynamical equations. The numerical solutions confirm oscillatory behaviour of the inclination angle $\theta(t)$ for the symmetry axis of the Tippe Top.
A V Borisov +17 more
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Oscillatory traveling wave solutions for coagulation equations
We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }( , ) =\big( ^{1-\varepsilon }+ ^{1-\varepsilon }\big)\big ( \big) ^{\frac{\varepsilon }{2}}$. Heuristically, in suitable exponential variables, one can argue that in this case the long-time behaviour of solutions is similar to the ...
Niethammer, B., Velázquez, J. J. L.
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Oscillatory Solutions of Neutral Equations with Polynomial Nonlinearities [PDF]
Existence uniqueness of an oscillatory solution for nonlinear neutral equations by fixed point method is proved.
Angelov, Vasil G., Angelova, Dafinka Tz.
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New oscillation theorems for a class of even-order neutral delay differential equations
In this work, we study the oscillatory behavior of even-order neutral delay differential equations υ n ( l ) + b ( l ) u ( η ( l ) ) = 0 $\upsilon ^{n}(l)+b(l)u(\eta (l))=0$ , where l ≥ l 0 $l\geq l_{0}$ , n ≥ 4 $n\geq 4$ is an even integer and υ = u + a
Mona Anis, Osama Moaaz
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Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries [PDF]
In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the ...
Arrieta, José M. +2 more
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Oscillatory Radial Solutions of Semilinear Elliptic Equations
We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Derrick, William R. +2 more
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New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this ...
Osama Moaaz, Dumitru Baleanu, Ali Muhib
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On the location of zeros of oscillatory solution [PDF]
The location of zeros of solutions of second order singular differential equations is provided by a new asymptotic decomposition formula. The approximate location of zeros is provided with high accuracy error estimates in the neighbourhood of the point at infinity.
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