Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley +1 more source
On equivalence of algebraic and finite element formulations of prestressed bar structures. [PDF]
Pełczyński J.
europepmc +1 more source
Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley +1 more source
Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers. [PDF]
Ouahid L +7 more
europepmc +1 more source
A pseudo-resolvent approach to abstract differential-algebraic equations [PDF]
Hannes Gernandt, Timo Reis
openalex +1 more source
A representation theorem for large and small analytic solutions of algebraic differential equations in sectors [PDF]
Steven B. Bank
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Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin +2 more
wiley +1 more source
Exploring complex phenomena in fluid flow and plasma physics via the Schrödinger-type Maccari system. [PDF]
Abbas N +6 more
europepmc +1 more source
Partial‐differential‐algebraic equations of nonlinear dynamics by physics‐informed neural‐network: (I) Operator splitting and framework assessment [PDF]
L. Vu‐Quoc, Alexander Humer
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