2001Unpublished venueRequires access

Dynamic Equations on Time Scales: An Introduction with Applications

Martin Böhner, Allan Peterson

Open publisher page 2,306 citations

Abstract

Preface * The Time Scales Calculus * First Order Linear Equations * Second Order Linear Equations * Self-Adjoint Equations * Linear Systems and Higher Order Equations * Dynamic Inequalities * Linear Symplectic Dynamic Systems * Extensions * Solutions to Selected Problems * Bibliography * Index

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What this paper is about

Preface * The Time Scales Calculus * First Order Linear Equations * Second Order Linear Equations * Self-Adjoint Equations * Linear Systems and Higher Order Equations * Dynamic Inequalities * Linear Symplectic Dynamic Systems * Extensions * Solutions to Selected Problems * Bibliography * Index

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OpenAlex reports 2306 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Preface * The Time Scales Calculus * First Order Linear Equations * Second Order Linear Equations * Self-Adjoint Equations * Linear Systems and Higher Order Equations * Dynamic Inequalities * Linear Symplectic Dynamic Systems * Extensions * Solutions to Selected Problems * Bibliography * Index

Key concepts: Dynamic equation, Independent equation, Mathematics, Applied mathematics, Order (exchange), Simultaneous equations, System of linear equations, Symplectic integrator

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