Prolongation of solutions of measure differential equations and dynamic equations on time scales
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DOI: 10.1002/mana.201700420
Abstract: In this paper, we prove the results on existence and uniqueness of the maximal solutions for measure differential equations, considering more general conditions on functions f and g by using the correspondence between the solutions… read more here.
Keywords: time scales; solutions measure; differential equations; dynamic equations ... See more keywords
Oscillation for a nonlinear neutral dynamic equations on time‐scales with variable exponents
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DOI: 10.1002/mma.5636
Abstract: In the present manuscript, we study the oscillation theory for a first‐order nonlinear neutral dynamic equations on timescales with variable exponents of the form read more here.
Keywords: nonlinear neutral; dynamic equations; variable exponents; neutral dynamic ... See more keywords
On the Relationship Between Solutions of Boundary Value Problems for Differential Equations and Corresponding Problems for Dynamic Equations on Time Scales
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DOI: 10.1002/mma.70350
Abstract: This paper investigates the relationship between solutions of boundary value problems for ordinary differential equations and those for a family of dynamic equations on time scales. The main result demonstrates that, when the graininess tends… read more here.
Keywords: solutions boundary; differential equations; dynamic equations; boundary value ... See more keywords
Nonoscillation of half‐linear dynamic equations on time scales
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DOI: 10.1002/mma.7304
Abstract: The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide… read more here.
Keywords: dynamic equations; time; nonoscillation half; equations time ... See more keywords
Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays
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DOI: 10.1002/mma.9993
Abstract: This paper explores general coupled dynamic equations on time scales with multiple delays and investigates the existence of periodic solutions using the coincidence degree theory approach. The model studied includes the mathematical models of Nicholson,… read more here.
Keywords: multiple delays; dynamic equations; synchronization solutions; periodicity stability ... See more keywords
Hille and Nehari-Type Oscillation Criteria for Third-Order Emden–Fowler Neutral Delay Dynamic Equations
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0354-y
Abstract: We establish some oscillation criteria for the third-order Emden–Fowler neutral delay dynamic equations of the form: $$\begin{aligned} (a(t)(x(t)+r(t)x(\tau (t)))^{\Delta \Delta })^\Delta +p(t)x^\gamma (\delta (t))=0 \end{aligned}$$(a(t)(x(t)+r(t)x(τ(t)))ΔΔ)Δ+p(t)xγ(δ(t))=0on a time scale $$\mathbb {T}$$T, where $$\gamma >0$$γ>0 is a… read more here.
Keywords: dynamic equations; delay dynamic; neutral delay; oscillation criteria ... See more keywords
Dynamic equations for solid isotropic radially functionally graded circular cylinders
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DOI: 10.1016/j.compstruct.2018.03.087
Abstract: A hierarchy of dynamic equations for solid isotropic functionally graded circular cylinders is derived based on the three dimensional elastodynamic theory. The material parameters are assumed to vary in the radial direction. Using Fourier expansions… read more here.
Keywords: graded circular; functionally graded; equations solid; circular cylinders ... See more keywords
Boundedness of solutions of measure differential equations and dynamic equations on time scales
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DOI: 10.1016/j.jde.2017.02.008
Abstract: Abstract In this paper, we investigate the boundedness results for measure differential equations. In order to obtain our results, we use the correspondence between these equations and generalized ODEs. Furthermore, we prove our results concerning… read more here.
Keywords: time scales; boundedness solutions; differential equations; dynamic equations ... See more keywords
Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales
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DOI: 10.1080/10236198.2017.1371146
Abstract: Abstract We are concerned with the oscillation problem for second-order nonlinear dynamic equations on time scales of the form , where f(x) satisfies if . By means of Riccati technique and phase plane analysis of… read more here.
Keywords: nonlinear dynamic; second order; time scales; dynamic equations ... See more keywords
Dual Quaternions Representation of Lagrange's dynamic equations
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DOI: 10.1115/1.4062463
Abstract: Abstract' This paper introduces for the first time, the Lagrange's dynamic equations in dual number quaternion form. Additionally, Rayleigh's dissipation function in dual quaternion form is introduced here allowing for the accounting of dissipative (non-conservative)… read more here.
Keywords: dual quaternions; equations dual; representation lagrange; dynamic equations ... See more keywords
Oscillation Criteria Enhanced for Advanced Half‐Linear Dynamic Equations
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DOI: 10.1155/2024/1302630
Abstract: The purpose of this study is to develop new iterative oscillation criteria for second‐order half‐linear advanced dynamic equations. These findings improve and extend recently established criteria for the same equation by several authors as well… read more here.
Keywords: criteria enhanced; enhanced advanced; dynamic equations; oscillation criteria ... See more keywords