Global vs blow-up solutions and optimal threshold for hyperbolic ODEs with possibly singular nonlinearities

DOI10.1007/s12220-023-01476-7arXiv2306.02509MaRDI QIDQ6143877

Tosiya Miyasita, Daniele Cassani

Publication date: 5 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.02509

zbMATH Keywords

blow-upLyapunov functionsglobal solutionsomega limit setMEMSdynamical threshold

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Unnamed Item
• On a nonlocal parabolic problem arising in electrostatic MEMS control
• On the quenching behaviour of a semilinear wave equation modelling MEMS technology
• On the dynamic pull-in instability in a mass-spring model of electrostatically actuated MEMS devices
• Ground states of a quasilinear equation
• Critical exponents, special large-time behavior and oscillatory blow-up in nonlinear ODE's
• The Convergence Problem for Dissipative Autonomous Systems
• SHARP DECAY ESTIMATES OF THE SOLUTIONS TO A CLASS OF NONLINEAR SECOND ORDER ODE's
• Direct and inverse problems related to MEMS
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
• Nonlocal Dynamic Problems with Singular Nonlinearities and Applications to MEMS

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