Results 21 to 30 of about 168,051 (190)
Oscillatory traveling wave solutions for coagulation equations
Quarterly of Applied Mathematics, 2017 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]
International Journal of Differential Equations, 2011 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 Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order
Mathematics, 2020 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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New oscillation theorems for a class of even-order neutral delay differential equations
Advances in Difference Equations, 2021 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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On the convergence of Regge calculus to general relativity [PDF]
, 2000 Motivated by a recent study casting doubt on the correspondence between Regge calculus and general relativity in the continuum limit, we explore a mechanism by which the simplicial solutions can converge whilst the residual of the Regge equations ...
Adrian P Gentle +8 more
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Oscillatory Radial Solutions of Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 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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On second-order differential equations with highly oscillatory forcing terms [PDF]
, 2010 We present a method to compute efficiently solutions of systems of ordinary differential equations that possess highly oscillatory forcing terms. This approach is based on asymptotic expansions in inverse powers of the oscillatory parameter,and features ...
Bogoliubov N. N. +4 more
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The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type and fundamental similarity solutions [PDF]
, 2014 Fundamental global similarity solutions of the standard form u_\g(x,t)=t^{-\a_\g} f_\g(y), with the rescaled variable y= x/{t^{\b_\g}}, \b_\g= \frac {1-n \a_\g}{10}, where \a_\g>0 are real nonlinear eigenvalues (\g is a multiindex in R^N) of the tenth ...
Alvarez-Caudevilla, Pablo +2 more
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On the location of zeros of oscillatory solution [PDF]
Transactions of the American Mathematical Society, 1983 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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Electronic Journal of Qualitative Theory of Differential Equations, 2013 Monotonicity of solutions is an important property in the investigation of oscillatory behaviors of differential equations. A number of papers provide some existence criteria for eventually positive increasing solutions.
Shao-Yuan Huang, Sui Sun Cheng
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