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Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials
Discussiones Mathematicae - General Algebra and Applications, 2021 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the third-order Jacobsthal and modified third-order Jacobsthal hybrinomials, i.e., polynomials, which are a generalization of the ...
Cerda-Morales Gamaliel
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On Solving the Nonlinear Falkner–Skan Boundary-Value Problem: A Review
Fluids, 2021 This article is a review of ongoing research on analytical, numerical, and mixed methods for the solution of the third-order nonlinear Falkner–Skan boundary-value problem, which models the non-dimensional velocity distribution in the laminar boundary ...
Asai Asaithambi
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Mathematics, 2020 The objective of our paper is to study asymptotic properties of the class of third order neutral differential equations with advanced and delayed arguments. Our results supplement and improve some known results obtained in the literature. An illustrative
Osama Moaaz +2 more
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Oscillation criteria for third order nonlinear delay differential equations with damping [PDF]
Opuscula Mathematica, 2015 This note is concerned with the oscillation of third order nonlinear delay differential equations of the form \[\label{*} \left( r_{2}(t)\left( r_{1}(t)y^{\prime}(t)\right)^{\prime}\right)^{\prime}+p(t)y^{\prime}(t)+q(t)f(y(g(t)))=0.\tag{\(\ast\)}\] In ...
Said R. Grace
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Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]
Opuscula Mathematica, 2017 This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef +2 more
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Oscillation of Third-Order Differential Equations with Advanced Arguments
Mathematics, 2023 The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory ...
Munirah Aldiaiji +4 more
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Oscillatory behavior of third order nonlinear difference equation with mixed neutral terms
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we obtain some new sufficient conditions for the oscillation of all solutions of the third order nonlinear neutral difference equation of the form \begin{equation*} \Delta^3 \left(x_n+b_n x_{n-\tau_{1}}+c_n x_{n+\tau_{2}}\right)^{\alpha} =
Ethiraju Thandapani +2 more
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New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations
Mathematics, 2022 The objective of this paper is to derive new Hille type and Ohriska type criteria for third-order nonlinear dynamic functional equations in the form of a2(ζ)φα2a1ζφα1xΔ(ζ)ΔΔ+q(ζ)φαx(g(ζ))=0, on a time scale T, where Δ is the forward operator on T, α1, α2,
Taher S. Hassan +3 more
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IEEE Access, 2021 This paper provides a new theoretical model for the characterization of passive intermodulation behaviour when non-contributing carriers (i.e., carriers which do not directly affect the particular non-linear contribution under analysis) are added to ...
Davide Smacchia +3 more
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Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
Algorithms, 2015 This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations.
Sergio Amat +3 more
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