Results 21 to 30 of about 371,472 (295)
Important Criteria for Asymptotic Properties of Nonlinear Differential Equations
Mathematics, 2021 In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject.
Ahmed AlGhamdi +2 more
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Cosmological perturbations in a gravity with quadratic order curvature couplings [PDF]
, 1998 We present a set of equations describing the evolution of the scalar-type cosmological perturbation in a gravity with general quadratic order curvature coupling terms.
A. D. Sakharov +30 more
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Nonlinear differential equations of fourth-order: Qualitative properties of the solutions
AIMS Mathematics, 2020 In this paper, we study the oscillation of solutions for a fourth-order neutral nonlinear differential equation, driven by a $p$-Laplace differential operator of the form \begin{equation*} \begin{cases} \left( r\left( t\right) \Phi _{p_{1}}[w^{\prime ...
Omar Bazighifan
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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Entropy, 2021 The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are
Ravi P. Agarwal +2 more
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On the oscillation of fourth-order delay differential equations
Advances in Difference Equations, 2019 In the paper, fourth-order delay differential equations of the form (r3(r2(r1y′)′)′)′(t)+q(t)y(τ(t))=0 $$ \bigl(r_{3} \bigl(r_{2} \bigl(r_{1}y' \bigr)' \bigr)' \bigr)'(t) + q(t) y \bigl( \tau (t) \bigr) = 0 $$ under the assumption ∫t0∞dtri(t)
Said R. Grace +3 more
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Axioms, 2020 Some new sufficient conditions are established for the oscillation of fourth order neutral differential equations with continuously distributed delay of the form r t N x ‴ t α ′ + ∫ a b q t , ϑ x β δ t , ϑ d ϑ = 0 ...
Omar Bazighifan +2 more
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Kamenev-Type Asymptotic Criterion of Fourth-Order Delay Differential Equation
Fractal and Fractional, 2020 In this paper, we obtain necessary and sufficient conditions for a Kamenev-type oscillation criterion of a fourth order differential equation of the form r 3 t r 2 t r 1 t y ′ t ′ ′ ′ + q t f y &
Omar Bazighifan
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Oscillation theorems for fourth-order quasi-linear delay differential equations
AIMS Mathematics, 2023 In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $.
Fahd Masood +4 more
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The Dirichlet problem for higher order equations in composition form [PDF]
, 2013 The present paper commences the study of higher order differential equations in composition form. Specifically, we consider the equation Lu=\Div B^*\nabla(a\Div A\nabla u)=0, where A and B are elliptic matrices with complex-valued bounded measurable ...
Barton, Ariel, Mayboroda, Svitlana
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Wronskians and subspaces of certain fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, 1980 The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution
G. J. Etgen, Willie E. Taylor
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