Results 11 to 20 of about 26,698 (263)
Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients
Electronic Journal of Differential Equations, 2018 We analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients.
Petr Hasil, Michal Vesely
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On oscillatory solutions of certain difference equations [PDF]
Opuscula Mathematica, 2006 Some difference equations with deviating arguments are discussed in the context of the oscillation problem. The aim of this paper is to present the sufficient conditions for oscillation of solutions of the equations discussed.
Grzegorz Grzegorczyk +1 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 ...
Crippa, Gianluca, De Lellis, Camillo
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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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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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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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On oscillatory solutions of differential inequalities [PDF]
Czechoslovak Mathematical Journal, 1992 Oscillation properties are proved for systems of differential inequalities of the type \(\alpha_ iy_ i'y_{i+1}>0\) for \(y_{i+1}\neq 0\), \(y_ i'=0\) if \(y_{i+1}=0\), \(i=1,\dots,n\) in an interval \((a,b ...
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
Fractal and Fractional, 2021 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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The Existence of Oscillatory Solutions for a Nonlinear Differential Equation [PDF]
SIAM Journal on Mathematical Analysis, 1972 For the differential equation $\ddot y + q(t)y^\gamma = 0$, where $q(t)$ is nonnegative and continuous and $0 < \gamma \ne 1$, a necessary and sufficient condition for the oscillation of all solutions is known. However, it is possible for oscillatory and nonoscillatory solutions to coexist.
Heidel, J. W., Hinton, Don B.
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