Results 1 to 10 of about 218,183 (349)
Oscillatory travelling wave solutions for coagulation equations [PDF]
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 ...
Barbara Niethammer +1 more
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Oscillatory Solutions of Singular Equations Arising in Hydrodynamics [PDF]
Advances in Difference Equations, 2010 Motivated by the recent papers of the first two authors [Math. Comput. Modelling 51, No.~5--6, 658--669 (2010; Zbl 1190.34029), and Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No.~3--4 (A), 2114--2118 (2010; Zbl 1186.34014)], the initial value problem for the second order nonlinear differential equation \[ (p(t)u')'=p(t)f(u),\quad
Irena Rachůnková +2 more
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Oscillatory solutions to transport equations [PDF]
Indiana University Mathematics Journal, 2006 Let n ≥ 3. We show that there is no topological vector space X C L ∞ n L 1 loc (R x R n ) that embeds compactly in L 1 loc , contains BV loc n L ∞ , and enjoys the following closure property: If f ∈ X n (R × R n ) has bounded divergence and u 0 ∈ X(R n ), then there exists u ∈ X(R x R n ) which solves ∂ t u + div (uf) = 0 u(0,·) = u 0 in the ...
Camillo De Lellis, Gianluca Crippa
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Oscillating shells and oscillating balls in AdS
Journal of High Energy Physics, 2017 It has recently been reported that certain thin timelike shells undergo oscillatory motion in AdS. In this paper, we compute two-point function of a probe field in the geodesic approximation in such an oscillating shell background.
Avik Banerjee +3 more
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Oscillations of equations caused by several deviating arguments [PDF]
Opuscula Mathematica, 2019 Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given.
George E. Chatzarakis
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Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]
Opuscula Mathematica, 2017 This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef +2 more
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Improved iterative oscillation tests for first-order deviating differential equations [PDF]
Opuscula Mathematica, 2018 In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients.
George E. Chatzarakis, Irena Jadlovská
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Asymptotic behavior of oscillatory solutions
Hiroshima Mathematical Journal, 1988 The aim in this paper is to study the asymptotic behavior of the oscillatory solutions of certain delay differential equations of the form \[ (1)\quad x'(t)+p(t)x(t-\tau)+q(t)x(t-\sigma)=0,\quad t\geq t_ 0 \] and of certain neutral equations of the form \[ (2)\quad (d/dt)[x(t)- px(t-\tau)]+q(t)x(t-\sigma)=0,\quad t\geq t_ 0.
Ladas, G., Sficas, Y. G.
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Oscillatory Solutions for Certain Delay-Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1988 The existence of oscillatory solutions for a certain class of scalar first order delay-differential equations is proved. An application to a delay logistic equation arising in certain models for population variation of a single specie in a constant environment with limited resources for growth is considered.
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Efficient computation of delay differential equations with highly oscillatory terms. [PDF]
, 2012 This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms.
Condon, Marissa +3 more
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