Oscillatory solutions of Emden-Fowler type differential equation [PDF]
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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Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems [PDF]
Mathematica Bohemica, 2021 The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved.
Gevorg A. Grigorian
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Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales [PDF]
Mathematics, 2019 In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales.
Yong Zhou, Bashir Ahmad, Ahmed Alsaedi
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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.
George Seifert
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A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results [PDF]
Journal of Applied Mathematics, 2014 This paper is focused on studying approximate damped oscillatory solutions of the compound KdV-Burgers-type equation with nonlinear terms of any order.
Yan Zhao, Weiguo Zhang
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Oscillatory solutions of the Cauchy problem for linear differential equations [PDF]
Electronic Journal of Differential Equations, 2015 We consider the Cauchy problem for second and third order linear differential equations with constant complex coefficients. We describe necessary and sufficient conditions on the data for the existence of oscillatory solutions. It is known that in the
Gro Hovhannisyan, Oliver Ruff
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All solutions of the equilibrium capillary surface equation are oscillatory [PDF]
Applied Mathematics Letters, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mustafa R. S. Kulenovic, C. Ljubovic
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Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations [PDF]
, 2011 Asymptotic properties of solutions of the singular differential equation (𝑝(𝑡)𝑢(𝑡))=𝑝(𝑡)𝑓(𝑢(𝑡)) are described. Here, f is Lipschitz continuous on ℝ and has at least two zeros 0 and 𝐿g0.
I. Rachunková +2 more
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On oscillatory solutions of quasilinear differential equations [PDF]
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.
M. BARTUSEK +3 more
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Deep adaptive basis Galerkin method for high-dimensional evolution equations with oscillatory solutions [PDF]
SIAM Journal on Scientific Computing, 2021 In this paper, we study deep neural networks (DNNs) for solving high-dimensional evolution equations with oscillatory solutions. Different from deep least-squares methods that deal with time and space variables simultaneously, we propose a deep adaptive ...
Yiqi Gu, M. Ng
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