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Linear differential operator

Spara som favorit. Skickas inom vardagar. The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics.

Differential Equations - 5 - Classification

Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders. In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems.

The heat conduction equation is an example of a parabolic PDE. Each type of PDE has certain characteristics that help determine if a particular finite element approach is appropriate to the problem being described by the PDE.


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Interestingly, just knowing the type of PDE can give us insight into how smooth the solution is, how fast information propagates, and the effect of initial and boundary conditions. Partial differential equation appear in several areas of physics and engineering. A firm grasp of how to solve ordinary differential equations is required to solve PDEs.

In particular, solutions to the Sturm-Liouville problems should be familiar to anyone attempting to solve PDEs. There are many applications of partial differential equations in physics and engineering. Here are some examples:.

Advances in Differential Equations

Among this volume's other points of interest are: The Abel basis property of a system of root functions Irregular boundary value problems The theory of hyperbolic equations in Gevrey space The theory of boundary value problems for elliptic differential equations with a parameter show more. Product details Format Hardback pages Dimensions x x Other books in this series.

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Differential-Operator Equations Yakov Yakubov. Add to basket. Learn about new offers and get more deals by joining our newsletter. Sign up now. Follow us.