Let Z_n be the set of residue classes modulo n and let r, s,…be its elements.If the set S={(R_i, S_i)|i=1, 2,…, m}Z_nxZ_n(0【m≤n) satisfies the conditions that R_i≠R_j, S_i≠S_j, S_i+R_i≠S_j+R_j and S_i-R_i≠S_j-...Let Z_n be the set of residue classes modulo n and let r, s,…be its elements.If the set S={(R_i, S_i)|i=1, 2,…, m}Z_nxZ_n(0【m≤n) satisfies the conditions that R_i≠R_j, S_i≠S_j, S_i+R_i≠S_j+R_j and S_i-R_i≠S_j-R_j when i≠j, then we say that S is a partial n-solution with m elements.展开更多
Abstract The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point th...Abstract The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point theorem on the cone.展开更多
文摘Let Z_n be the set of residue classes modulo n and let r, s,…be its elements.If the set S={(R_i, S_i)|i=1, 2,…, m}Z_nxZ_n(0【m≤n) satisfies the conditions that R_i≠R_j, S_i≠S_j, S_i+R_i≠S_j+R_j and S_i-R_i≠S_j-R_j when i≠j, then we say that S is a partial n-solution with m elements.
文摘Abstract The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point theorem on the cone.
