Antonio Cañada,Salvador Villegas's A Variational Approach to Lyapunov Type Inequalities: From PDF

By Antonio Cañada,Salvador Villegas

ISBN-10: 3319252879

ISBN-13: 9783319252872

This booklet highlights the present nation of Lyapunov-type inequalities via an in depth research. aimed at researchers and scholars operating in differential equations and people drawn to the purposes of balance concept and resonant structures, the publication starts off with an summary Lyapunov’s unique effects and strikes ahead to incorporate customary effects bought some time past ten years. designated proofs and an emphasis on simple principles are supplied for various boundary stipulations for usual differential equations, together with Neumann, Dirichlet, periodic, and antiperiodic stipulations. Novel result of greater eigenvalues, platforms of equations, partial differential equations in addition to variational methods are provided. To this appreciate, a brand new and unified variational viewpoint  is brought for the therapy of such difficulties and a scientific dialogue of alternative varieties of boundary stipulations is featured.

Various difficulties make the learn of Lyapunov-type inequalities of curiosity to these in natural and utilized arithmetic. Originating with the learn of the steadiness houses of the Hill equation, different questions arose for example in structures at resonance, crystallography, isoperimetric difficulties, Rayleigh sort quotients and oscillation and durations of disconjugacy and it result in the learn of Lyapunov-type inequalities for differential equations. This classical quarter of

mathematics remains to be of significant curiosity and continues to be a resource of inspiration.

 

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A Variational Approach to Lyapunov Type Inequalities: From ODEs to PDEs (SpringerBriefs in Mathematics) by Antonio Cañada,Salvador Villegas


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