International Journal of Mathematics Trends and Technology
Volume 71 | Issue 6 | Year 2025 | Article Id. IJMTT-V71I6P107 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I6P107
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 17 Apr 2025 | 30 May 2025 | 17 Jun 2025 | 30 Jun 2025 |
In this paper, we establish the non-existence of positive periodic solutions to the attractive singular Liénard equation with relativistic acceleration ( 𝑥′√1−𝑥′2𝑣2) ′+𝑓(𝑥)𝑥′+𝑎(𝑡)𝑥𝜇+𝑏(𝑡)𝑥𝜌=𝑠 Where 𝑣 is the speed of light in a vacuum? Distinct from the classical Liénard equation, the inertial term arises from the relativistic momentum, which introduces strong nonlinearity and imposes a natural velocity bound.
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Ruina Zhao, "A Non-Existence Result for Positive Periodic Solutions to the Relativistic Singular Liénard Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 6, pp. 74-80, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I6P107
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