This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index theorem on cones 摘要利用锥映射的不动点指数定理,研究了一类非线性奇异边值问题多个正解的存在性问题。
By using the fixed point index theorem , the existence of positive solutions for nonlinear m - point boundary value problem is established under some weaker conditions , and previous results are improved and generalized 摘要本文在较弱的条件下,利用不动点指数定理研究了一类算子多点边值问题正解的存在性,推广并改进了原有的结果。
指数: index number; index定理: theorem阿蒂亚 辛格指数定理: atiyah singer index theorem【数学】素数定理。: prime number theorem残数定理: cauchy residue theorem; theorem of residues乘数定理: multiplier theorem大数定理: laws of large numbers反函数定理: inverse function theorem柯涡数定理: cauchy residue theorem留数定理: residue theorem三级数定理: three series theorem素数定理: prime number theorem维数定理: dimension theorem隐函数定理: implicit function theorem; theorem of implicit functions余数定理: crt; remainder theorem; remaindertheorem质数定理: prime number theorem整指数定律: laws of integral exponents指数定律: exponential law; law of exponentiation; law of exponents; law of indices; power law指数定义: exponential definition指数律;指数定律: law of indices费马素数定理: fermat's prime number theorem交错级数定理: alternating series柯西残数定理: cauchy residue theorem柯西留数定理: cauchy residue theorem幂群计数定理: power group enumeration theorem