Download e-book for kindle: A Variational Approach to Lyapunov Type Inequalities: From by Antonio Cañada,Salvador Villegas

By Antonio Cañada,Salvador Villegas

ISBN-10: 3319252879

ISBN-13: 9783319252872

This publication highlights the present kingdom of Lyapunov-type inequalities via an in depth research. aimed at researchers and scholars operating in differential equations and people attracted to the purposes of balance concept and resonant structures, the e-book starts off with an outline Lyapunov’s unique effects and strikes ahead to incorporate favourite effects acquired some time past ten years. distinct proofs and an emphasis on uncomplicated principles are supplied for various boundary stipulations for traditional differential equations, together with Neumann, Dirichlet, periodic, and antiperiodic stipulations. Novel result of larger eigenvalues, structures of equations, partial differential equations in addition to variational techniques are awarded. To this admire, a brand new and unified variational perspective  is brought for the therapy of such difficulties and a scientific dialogue of alternative sorts of boundary stipulations is featured.

Various difficulties make the examine of Lyapunov-type inequalities of curiosity to these in natural and utilized arithmetic. Originating with the examine of the steadiness homes of the Hill equation, different questions arose for example in platforms at resonance, crystallography, isoperimetric difficulties, Rayleigh kind quotients and oscillation and periods of disconjugacy and it result in the examine of Lyapunov-type inequalities for differential equations. This classical region of

mathematics remains to be of significant curiosity and is still 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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