摘要
Theauthordemonstratethatthetwo-pointboundaryvalueproblem{p′(s)=f′(s)-λp^β(s)fors∈(0,1);β∈(0,1),p(0)=p(1)=0,p(s)>0ifs∈(0,1),hasasolution(λ^-，p^-（s）),where|λ^-|isthesmallestparameter,undertheminimalstringentrestrictionsonf(s),byapplyingtheshootingandregularizationmethods.Inaclassicpaper,Kohmogorovet.al.studiedin1937aproblemwhichcanbeconvertedintoaspecialcaseoftheaboveproblem.Theauthoralsousethesolution(λ^-,p^-(s))toconstructaweaktravellingwavefrontsolutionu(x,t)=y(ξ),ξ=x-Ct,C=λ^-N/(N+1),ofthegeneralizeddiffusionequationwithreactionδ/δx（k（u）|δu/δx|^n-1δu/δx)-δu/δt=g（u），whereN>0,k(s)>0a.e.on(0,1),andf(a):=n+1/N∫0ag(t)k^1/N(t)dtisabsolutelycontinuousou[0,1],whiley(ξ)isincreasingandabsolutelycontinuouson(-∞,+∞)and(k(y(ξ))|y′(ξ)|^N)′=g(y(ξ))-Cy′(ξ)a.e.on(-∞，+∞）,y(-∞)=0,y(+∞)=1.
出版日期
1994年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）
