Results 11 to 20 of about 41,848 (268)
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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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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Trigonometrically Fitted Improved Hybrid Method for Oscillatory Problems
Computer Sciences & Mathematics Forum, 2023 Presented in this paper is a trigonometrically fitted scheme based on a class of improved hybrid method for the numerical integration of oscillatory problems.
Yusuf Dauda Jikantoro +2 more
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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 of Emden-Fowler type differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 more
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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 advanced difference equations with variable arguments
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Consider the first-order advanced difference equation of the form \begin{equation*} \nabla x(n)-p(n)x(\mu (n))=0\text{, }\ n\geq 1\, [\Delta x(n)-p(n)x(\nu (n))=0, n\geq 0], \end{equation*} where $\nabla $ denotes the backward difference operator ...
George Chatzarakis, Ioannis Stavroulakis
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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. Non‐autonomous equations with similar behaviour of solutions also are considered.
Ogorodnikova, S., Sadyrbaev, F.
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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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Oscillatory behavior of solutions of Volterra summation equations
Applied Mathematics Letters, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Graef, J.R., Thandapani, E.
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