{"product_id":"9780817635626","title":"The Nonlinear Limit-Point\/Limit-Circle Problem","description":"\u003ch1\u003eThe Nonlinear Limit-Point\/Limit-Circle Problem\u003c\/h1\u003e \u003ch2\u003eBartusek, Miroslav; Dosla, Zuzana; Graef, John R.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eFirst posed by Hermann Weyl in 1910, the limit–point\/limit–circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equations. This self-contained monograph traces the evolution of this problem from its inception to its modern-day extensions to the study of deficiency indices and analogous properties for nonlinear equations. \u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003eThe book opens with a discussion of the problem in the linear case, as Weyl originally stated it, and then proceeds to a generalization for nonlinear higher-order equations. En route, the authors distill the classical theorems for second and higher-order linear equations, and carefully map the progression to nonlinear limit–point results. The relationship between the limit–point\/limit–circle properties and the boundedness, oscillation, and convergence of solutions is explored, and in the final chapter, the connection between limit–point\/limit–circle problems and spectral theory is examined in detail.\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003eWith over 120 references, many open problems, and illustrative examples, this work will be valuable to graduate students and researchers in differential equations, functional analysis, operator theory, and related fields.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2003-12-17\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817635626\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-0-8176-8218-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 162\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":46544947052684,"sku":"9780817635626","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817635626.jpg?v=1775759608","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780817635626","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}