Results 21 to 30 of about 12,171,095 (269)
Systems-disconjugacy of a fourth-order differential equations [PDF]
Proceedings of the American Mathematical Society, 1961 where r(x) >0 and p(x) are both continuous on [a, oo) and p(x) does not change sign, and related conjugate point properties to oscillation. They gave extensive evidence indicating that the oscillatory behavior when p(x) is positive is essentially different from that when p(x) is negative.
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Oscillation of Neutral Differential Equations with Damping Terms
Mathematics, 2023 Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved
Ioannis Dassios +3 more
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Comparison theorems for fourth order differential equations
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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Infinitely Many Homoclinic Solutions for Fourth Order p-Laplacian Differential Equations
Mathematics, 2020 The existence of infinitely many homoclinic solutions for the fourth-order differential equation φ p u ″ t ″ + w φ p u ′ t ′ + V ( t ) φ p u t = a ( t ) f ( t , u ( t ) ) , t ∈ R is studied in the paper ...
Stepan Tersian
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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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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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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations
Fractal and Fractional, 2021 In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi +4 more
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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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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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