Results 131 to 140 of about 12,792 (247)

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor   +2 more
wiley   +1 more source

Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani   +2 more
wiley   +1 more source

Duality for Evolutionary Equations With Applications to Null Controllability

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

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