On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order [PDF]
Journal of Advanced Research, 2016 In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and L2[0,∞)-solutions, upper bounds for values of improper integrals of the solutions ...
, Osman Tunc
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Approximate Damped Oscillatory Solutions for Generalized KdV-Burgers Equation and Their Error Estimates [PDF]
Abstract and Applied Analysis, 2011 We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
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Symmetry, 2022 The main purpose of this research was to use the comparison approach with a first-order equation to derive criteria for non-oscillatory solutions of fourth-order nonlinear neutral differential equations with p Laplacian operators. We obtained new results
Khalil Al-Ghafri +2 more
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On oscillatory solutions to the complete Euler system [PDF]
Journal of Differential Equations, 2017 The Euler system in fluid dynamics is a model of a compressible inviscid fluid incorporating the three basic physical principles: Conservation of mass, momentum, and energy. We show that the Cauchy problem is basically ill-posed for the L ∞ -initial data
E. Feireisl +3 more
semanticscholar +5 more sources
Oscillatory Solutions of Singular Equations Arising in Hydrodynamics [PDF]
Advances in Difference Equations, 2010 We investigate the singular differential equation on the half-line [), where satisfies the local Lipschitz condition on and has at least two simple zeros. The function is continuous on [) and has a positive continuous derivative on () and .
I. Rachunková, J. Tomeček, J. Stryja
semanticscholar +6 more sources
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.
J. Heidel, D. Hinton
semanticscholar +2 more sources
Asymptotic and Oscillatory Behavior of Solutions of a Class of Higher Order Differential Equation
Symmetry, 2019 The objective of this paper is to study asymptotic behavior of a class of higher-order delay differential equations with a p-Laplacian like operator. Symmetry ideas are often invisible in these studies, but they help us decide the right way to study them,
Clemente Cesarano +2 more
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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.
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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Existence of oscillatory solutions of second order delay differential equations
Journal of Computational and Applied Mathematics, 2015 Jurang Yan
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