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SUN Wei-ping, GE Wei-gao. Existence of Multiple Solutions for a Superlinear Sturm Liouville BVPs[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(1): 1-4.
Citation: SUN Wei-ping, GE Wei-gao. Existence of Multiple Solutions for a Superlinear Sturm Liouville BVPs[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(1): 1-4.
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Existence of Multiple Solutions for a Superlinear Sturm Liouville BVPs

  • Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081

Funds:NationalNaturalScienceFoundationofChina (19871005)
  • Received Date:1999-07-06
    Abstract
  • The existence of solutions of a Sturm Liouville boundary value problem(BVP) for u″+g(u)=p(t,u,u′)(0≤t≤1) is studied by using a continuation theorem based on the topological degree theory. Under the condition that g grows superlinearly and pgrows with respect to u and u′ linearly at most, the boundary value problem has an infinitude of solutions.
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    • References (3)
  • [1]
    Capietto A, Henhard M, Maw hin J, et al. A cont inuation approach to some forced superlinearSturm??Liouv ille boundar y value problems[J]. Topol Methods Nonlinear Anal, 1994, 3: 81-100.
    [2]
    Capietto A, Mawhin J, Zanolin F. On the ex istence of two solutions with a prescr ibed number ofzeros for a super linear two??points boundary value problem [J]. Topol Methods Nonlinear Anal,1995, 6: 175-188.
    [3]
    Mawhin J. Topolopical degree methods in nonlinear boundary v alue problems. CBMS RegionalCo nf Ser Math, no. 40[M]. Providence, RI: Amer Mat h Soc, 1979.
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