Results 1 to 10 of about 41,749 (169)
On oscillatory solutions of quasilinear differential equations
Journal of Mathematical Analysis and Applications, 2006 The authors present necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation. The results obtained yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions.
Zuzana Došlá
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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 ...
Crippa, Gianluca, De Lellis, Camillo
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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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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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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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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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Oscillatory Motion of a Camphor Object on a Surfactant Solution
The Journal of Physical Chemistry B, 2021 The mode bifurcation between oscillatory motion and no motion of a camphor object floating on surfactant aqueous solution was investigated. The camphor and surfactant were used as the sources of driving and suppressing forces, respectively. A circular plastic sheet was attached to the center of the bottom of a camphor disk, which served as the self ...
Yu Xu +3 more
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Oscillations of differential equations generated by several deviating arguments
Advances in Difference Equations, 2017 Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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On the growth of solutions in the oscillatory case [PDF]
Proceedings of the American Mathematical Society, 1975 Suppose that A A is a bounded continuously differentiable function from
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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
Rachůnková, Irena +2 more
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