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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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Informative Order-Reduction of Underdamped Third-Order Systems [PDF]
IEEE Access, 2021 Model order reduction simplifies the understanding of a given system and minimizes the simulation studies computational burden. A new order reduction method that depends on a predetermined normalized error of the transient performance indices is ...
Saher Albatran +2 more
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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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Third order trace formula [PDF]
Proceedings - Mathematical Sciences, 2013 26 ...
Chattopadhyay, Arup, Sinha, Kalyan B
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Periodic Third-Order Problems with a Parameter [PDF]
Axioms, 2021 This work concerns with the solvability of third-order periodic fully problems with a weighted parameter, where the nonlinearity must verify only a local monotone condition and no periodic, coercivity or super or sublinearity restrictions are assumed, as usual in the literature. The arguments are based on a new type of lower and upper solutions method,
Feliz M. Minhós, Nuno Oliveira 0009
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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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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 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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Constructing higher-order hydrodynamics: The third order [PDF]
Physical Review D, 2016 V5: 33 pages. Typos fixed in Eqs. (5), (118) and (126).
Grozdanov, S., Kaplis, N.
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