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Dynamic Analysis of a Nonlinear Timoshenko Equation [PDF]
Abstract and Applied Analysis, 2011 We characterize the global and nonglobal solutions of the Timoshenko equation in a bounded domain. We consider nonlinear dissipation and a nonlinear source term.
Jorge Alfredo Esquivel-Avila
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Nonlinear Drillstring Dynamics Analysis [PDF]
SIAM Journal on Applied Dynamical Systems, 2009 This paper studies the dynamical response of a rotary drilling system with a drag bit, using a lumped parameter model that takes into consideration the axial and torsional vibration modes of the bit. These vibrations are coupled through a bit-rock interaction law.
Germay, Christophe +3 more
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Nonlinear Analysis of the Dynamics of DNA Breathing [PDF]
Journal of Biological Physics, 2009 The base pairs that encode the genetic information in DNA show large amplitude localized excitations called DNA breathing. We discuss the experimental observations of this phenomenon and its theoretical analysis. Starting from a model introduced to study the thermal denaturation of DNA, we show that it can qualitatively describe DNA breathing but is ...
Peyrard, Michel +2 more
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Nonlinear Analysis of Dynamical Complex Networks [PDF]
Abstract and Applied Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zidong Wang +3 more
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Nonlocal Integro-Multi-Point (k, ψ)-Hilfer Type Fractional Boundary Value Problems
Mathematics, 2022 In this paper we investigate the criteria for the existence of solutions for single-valued as well as multi-valued boundary value problems involving (k,ψ)-Hilfer fractional derivative operator of order in (1,2], equipped with nonlocal integral multi ...
Sotiris K. Ntouyas +3 more
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Advances in Difference Equations, 2017 In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference operators and a Hahn integral. The existence and uniqueness
Umaphon Sriphanomwan +4 more
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Error analysis of approximated PCRLBs for nonlinear dynamics [PDF]
IEEE ICCA 2010, 2010 In practical nonlinear filtering, the assessment of achievable filtering performance is important. In this paper, we focus on the problem of efficiently approximate the posterior Cramer-Rao lower bound (CRLB) in a recursive manner. By using Gaussian assumptions, two types of approximations for calculating the CRLB are proposed: An exact model using the
Ming Lei +2 more
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Integral inequalities via fractional quantum calculus
Journal of Inequalities and Applications, 2016 In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad +2 more
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A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations
Fractal and Fractional, 2022 This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions.
Sotiris K. Ntouyas +2 more
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Open Mathematics, 2017 In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon +3 more
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