【摘要】 研究了二阶Sturm-Liouville边值问题解的多解性,通过临界点理论和Morse理论,给出解的存在性和多解性结果.更多还原

【Abstract】 We study the existence and multiplicity of solutions on second-order Sturm-Liouville boundary value problems(BVP)-u″(t)=f(t,u(t)) for all t∈subject to u(0)=u′(0) and u(1)=-u′(1),where f:×R1→R1 is continuous.By using the critical point theory and the Morse theory,we obtain a theorem which is enable to guarantee that this BVP has infinitely many solutions.更多还原