A half-linear differential equation and variational problem

DOI10.1016/S0362-546X(99)00338-7zbMath0991.34026OpenAlexW2121604445WikidataQ115339128 ScholiaQ115339128MaRDI QIDQ5940153

Robert Mařík

Publication date: 18 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00338-7

zbMATH Keywords

\(p\)-degree functionalcoupled pointshalf-linear differential equationPicone identity

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Coupled intervals for discrete \(p\)-degree functional ⋮ The minimum plane path for movable end-points and the nonsimultaneous variations

Cites Work

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• Conjugate points in the calculus of variations and optimal control theory via the quadratic form theory
• Quadratic functionals with general bounday conditions
• Sufficient conditions for variational problems with variable endpoints: Coupled points
• Coupled Points in the Calculus of Variations and Applications to Periodic Problems
• Sturmian comparison theorem for half-linear second-order differential equations

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