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Sturm-Liouville Theory and its Applications 2024 pdf epub mobi 电子书 图书描述 Provides a rigorous introduction to Sturm-Liouville theory at a level suitable for undergraduates Includes clearly worked examples and exercises with solutions, making the book well suited for self-study Meets the needs of...
On Sturm-Liouville Theory and its Applications W Sahelu 被引量: 0发表: 2014年 Sturm-Liouville operators and applications The spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems. Besides the basic results on the... VA Marchenko -...
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This expository thesis presents the primary theorems that together form what is known as Sturm-Liouville theory for a boundary value, linear second order differential equation involving a weight function. The key theorems regarding the self-adjoint condition of the Sturm-Liouville equation are developed...
addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral ...
Yes, Sturm-Liouville theory can be applied to a wide range of differential equations, as long as they can be transformed into the Sturm-Liouville form. This includes equations in the fields of physics, engineering, and mathematics. What are some practical applications of Sturm-Liouville theory in...
By Sturm-Liouville theory (see e.g. [17]), the operator Q0 has exactly one negative direction, and its kernel reduces to the function U0. In ... P Gravejat,D Smets - 《Proceedings of the London Mathematical Society》 被引量: 48发表: 2015年来源...
We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers. We prove local solvability and stabi
Theory of Ordinary Differential Equation, McGraw–Hill, New York (1955) Google Scholar [8] W.F. Donoghue Monotone Matrix Functions and Analytic Continuation, Springer-Verlag, Berlin (1974) Google Scholar [9] I.M. Gelfand, B.M. Levitan On the determination of a differential equation from its...