Delta-nabla type maximum principles for second-order dynamic equations on time scales and applications

DOI10.1155/2014/165429zbMath1469.34120OpenAlexW1975566656WikidataQ59035665 ScholiaQ59035665MaRDI QIDQ1722235

Jiang Zhu, Dongmei Liu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/165429

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamic equations on time scales or measure chains (34N05)

Related Items

Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational methods in irreversible thermoelasticity: theoretical developments and minimum principles for the discrete form
• Calculus of variations on time scales with nabla derivatives
• Maximum principles for elliptic dynamic equations
• Maximum principles and bounds for a class of fourth order nonlinear elliptic equations
• Dynamic equations on time scales and generalized ordinary differential equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Maximum principles for second order dynamic equations on time scales
• The maximum principle
• The strong maximum principle revisited.
• Dynamic equations on time scales: A survey
• Partial differential equations on time scales
• Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
• On continuous and discrete maximum principles for elliptic problems with the third boundary condition
• On discrete maximum principles for nonlinear elliptic problems
• Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures
• Discrete maximum principle for finite-difference operators
• Partial dynamic equations on time scales
• On the Differences of the Discrete Weak and Strong Maximum Principles for Elliptic Operators
• On the discrete maximum principle for parabolic difference operators
• An Introduction to Partial Differential Equations