EXPOSITIO

A home for expository scholarship

Expositio is a repository for expository papers in a wide range of academic disciplines, supporting preprints, revisions, optional peer review, saved papers, and overlay journals.

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A public repository for expository academic papers, with an integrated scholarly record.

Expositio is a place to read and cite expository work. Papers are published as stable, citable records, while remaining connected to later versions, editorial decisions, and related context.

Some papers are early drafts; others have been peer reviewed or formally published. Each paper remains readable on its own, while preserving the history behind it.

The result is both a reading room and a record: a place to browse by field, read papers in stable form, and follow their development over time.

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Existence theories in calculus of variations and optimal control

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Mathematics Calculus of variations and optimal control; optimization Existence theories in calculus of variations and optimal control
Domain: Mathematics × Branch: Calculus of variations and optimal control; optimization × Branch: Existence theories in calculus of variations and optimal control ×

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This paper describes the mathematical technique of calculus of variations starting with the derivation of key equations such as the Euler-Lagrange equation and the Beltrami Identity. These equations are then applied in the following scenarios: geodesic on a flat plane, solving t…

Mathematics / Calculus of variations and optimal control; optimization
Mathematics > Calculus of variations and optimal control; optimization > Existence theories for free problems in two or more independent variables Primary