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Lyapunov's Type Inequalities for Fourth-Order Differential Equations [PDF]
Abstract and Applied Analysis, 2012 For a fourth-order differential equation, we will establish some new Lyapunov-type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its ...
Samir H. Saker
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Comparison theorems for fourth order differential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 This paper establishes an apparently overlooked relationship between the pair of fourth order linear equations yiv−p(x)y=0 and yiv+p(x)y=0, where p is a positive, continuous function defined on [0,∞).
Garret J. Etgen, Willie E. Taylor
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Oscillatory Properties of Fourth-Order Advanced Differential Equations
Mathematics, 2023 This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p-Laplacian-like operator.
Alanoud Almutairi +3 more
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Emden–Fowler-type neutral differential equations: oscillatory properties of solutions
Advances in Difference Equations, 2021 In this paper, we study the oscillation of a class of fourth-order Emden–Fowler delay differential equations with neutral term. Using the Riccati transformation and comparison method, we establish several new oscillation conditions.
Omar Bazighifan, Alanoud Almutairi
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Fourth‐Order Differential Equation with Deviating Argument [PDF]
Abstract and Applied Analysis, 2012 We consider the fourth‐order differential equation with middle‐term and deviating argument x(4)(t) + q(t)x(2)(t) + r(t)f(x(φ(t))) = 0, in case when the corresponding second‐order equation h″ + q(t)h = 0 is oscillatory. Necessary and sufficient conditions for the existence of bounded and unbounded asymptotically linear solutions are given.
M. Bartusek +3 more
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Boundary Value Problems, 2022 In this paper, we discuss the oscillatory behavior of solutions of a class of Super-linear fourth-order differential equations with several sub-linear neutral terms using the Riccati and generalized Riccati transformations.
A. A. El-Gaber +2 more
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Weighted differential inequality and oscillatory properties of fourth order differential equations
Journal of Inequalities and Applications, 2021 In this paper, we investigate the oscillatory properties of two fourth order differential equations in dependence on boundary behavior of its coefficients at infinity. These properties are established based on two-sided estimates of the least constant of
Aigerim Kalybay +2 more
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Oscillation of Fourth-Order Delay Differential Equations [PDF]
Journal of Mathematical Sciences, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, C., Li, T., Saker, S.H.
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Oscillation of fourth-order quasilinear differential equations [PDF]
Mathematica Bohemica, 2015 Summary: We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these.
Rogovchenko, Yuriy +2 more
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Second order splitting of a class of fourth order PDEs with point constraints [PDF]
, 2020 We formulate a well-posedness and approximation theory for a class of generalised saddle point problems with a specific form of constraints. In this way we develop an approach to a class of fourth order elliptic partial differential equations with point ...
Elliott, Charles M., Herbert, P. J.
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