Partial differential equations on time scales
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摘要
Discrete and continuous formulations of partial differential operators are unified by a time scale formulation of partial differential operators. Results include an Euler–Lagrange equation for double integral variational problems on time scales and a Picone identity which implies a Sturm–Picone comparison theorem for second-order elliptic PDEs on time scales.
论文关键词：35J,Time scales,Measure chains,Delta derivatives,Elliptic partial differential equations,Euler–Lagrange equation,Picone identity,Sturm–Picone comparison theorem
论文评审过程：Received 27 September 2000, Revised 10 January 2001, Available online 27 March 2002.
论文官网地址：https://doi.org/10.1016/S0377-0427(01)00434-4
