Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization.

DOI10.1016/j.na.2003.10.001zbMath1046.34036OpenAlexW2008524625MaRDI QIDQ1427921

Paul W. Eloe, Qin Sheng

Publication date: 14 March 2004

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/j.na.2003.10.001

zbMATH Keywords

upper and lower solutionsquasilinearizationdynamic equations on time scales\(\Delta\) and \(\nabla\) derivativescrossed symmetry

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Additive difference equations (39A10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

An exploration of combined dynamic derivatives on time scales and their applications ⋮ An operator splitting approach for two-dimensional Kawarada problems ⋮ Upper and lower solution method for fourth-order four-point boundary value problem on time scales

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Sturmian theory on measure chains
• Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions
• On Green's functions and positive solutions for boundary value problems on time scales
• The method of quasilinearization and dynamic equations on compact measure chains
• Basics of Riemann Delta and Nabla Integration on Time Scales
• Notes on Crossed Symmetry Solutions of the Two-point Boundary Value Problems on Time Scales
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