<div class="csl-bib-body">
<div class="csl-entry">Ponomarev, D. (2022). A Note on the Appearance of the Simplest Antilinear ODE in Several Physical Contexts. <i>AppliedMath</i>, <i>2</i>(3), 433–445. https://doi.org/10.3390/appliedmath2030024</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/139155
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dc.description.abstract
We review several one-dimensional problems such as those involving linear Schrödinger equation, variable-coefficient Helmholtz equation, Zakharov–Shabat system and Kubelka–Munk equations. We show that they all can be reduced to solving one simple antilinear ordinary differential equation 𝑢′(𝑥)=𝑓(𝑥)𝑢(𝑥) or its nonhomogeneous version 𝑢′(𝑥)=𝑓(𝑥)𝑢(𝑥)+𝑔(𝑥), 𝑥∈(0,𝑥0)⊂ℝ. We point out some of the advantages of the proposed reformulation and call for further investigation of the obtained ODE.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.publisher
MDPI
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dc.relation.ispartof
AppliedMath
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
antilinear ordinary differential equations
en
dc.title
A Note on the Appearance of the Simplest Antilinear ODE in Several Physical Contexts
