Oscillatory solutions of fourth order advanced trinomial differential equations
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DOI: 10.1002/mana.201800515
Abstract: The paper deals with the oscillatory behavior of the fourth‐order linear three‐terms advanced differential equation of the form y(4)(t)+p(t)y′(t)+q(t)y(σ(t))=0.Assuming that all solutions of the auxiliary third‐order differential equation z′′′(t)+p(t)z(t)=0are nonoscillatory, two types of easily verifiable… read more here.
Keywords: oscillatory solutions; order; fourth order; advanced trinomial ... See more keywords
Solutions of the Fourth-Order Equation in the Generalized Hierarchy of the Second Painlevé Equation
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DOI: 10.1134/s0012266119030066
Abstract: We consider the analytic properties of solutions of the fourth-order higher analog of the second Painlevé equation and study the local properties of solutions, Bäcklund transformations, rational solutions, and their representation via generalized Yablonskii-Vorob’ev polynomials. read more here.
Keywords: painlev equation; solutions fourth; fourth order; second painlev ... See more keywords
Symmetric positive solutions for fourth-order n-dimensional m-Laplace systems
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DOI: 10.1186/s13661-018-0981-3
Abstract: AbstractThis paper investigates the existence, multiplicity, and nonexistence of symmetric positive solutions for the fourth-order n-dimensional m-Laplace system {ϕm(x″(t)))″=Ψ(t)f(t,x(t)),0 read more here.
Keywords: symmetric positive; solutions fourth; positive solutions; fourth order ... See more keywords
Behavior of Non-Oscillatory Solutions of Fourth-Order Neutral Differential Equations
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DOI: 10.3390/sym12030477
Abstract: In this paper, we deal with the asymptotics and oscillation of the solutions of fourth-order neutral differential equations of the form r t z ‴ t α ′ + q t x α g t… read more here.
Keywords: order neutral; neutral differential; solutions fourth; fourth order ... See more keywords