Titlebook: Lyapunov-type Inequalities; With Applications to Juan Pablo Pinasco Book 2013 Juan Pablo Pinasco 2013 Lyapunov inequality.Orlicz spaces.eig

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,Nehari–Calogero–Cohn Inequality,In this chapter, we review the proofs of Nehari, Calogero, and Cohn for Theorem C, together with some generalizations for the .-Laplacian eigenvalues and higher-order problems.

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Miscellaneous Topics,In this chapter we prove several Lyapunov-type inequalities for systems of ordinary differential equations, one-dimensional nonlinear operators in Orlicz spaces, and quasilinear equations in . ..

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https://doi.org/10.1007/978-1-4614-8523-0Lyapunov inequality; Orlicz spaces; eigenvalue bounds; integral inequalities; p-laplace operator; quasili

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978-1-4614-8522-3Juan Pablo Pinasco 2013

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Lyapunov-type Inequalities978-1-4614-8523-0Series ISSN 2191-8198 Series E-ISSN 2191-8201

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Juan Pablo PinascoEmphasizes the use of Lyapunov-type inequalities to obtain lower bounds for eigenvalues.Devoted to more general nonlinear equations, systems of differential equations, or partial differential equation

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SpringerBriefs in Mathematicshttp://image.papertrans.cn/l/image/589177.jpg

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2191-8198 of differential equations, or partial differential equation​The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of  eigenvalue asymptotics driven by the couplin