A pseudo-resolvent approach to abstract differential-algebraic equations [PDF]
Hannes Gernandt, Timo Reis
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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
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Effect of rotational field on thermo-acoustic and optical wave propagation in hydrodynamic semiconductors. [PDF]
Alshehri HM, Lotfy K.
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MINN: Learning the Dynamics of Differential-Algebraic Equations and Application to Battery Modeling [PDF]
Yicun Huang +3 more
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Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
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
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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]
Tarek A, Ahmed HM, Badra N, Samir I.
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Harmonic solutions to a class of differential-algebraic equations with separated variables [PDF]
Luca Bisconti
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Duality for Evolutionary Equations With Applications to Null Controllability
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
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Study of Hydraulic Disturbance Transient Processes in Pumped-Storage Power Stations Considering Electro-Mechanical Coupling. [PDF]
Liu C, Zhao Z, Yin X, Yang J.
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