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Volumn 54, Issue 3, 2003, Pages 565-573

Solvability of a nonlinear two-point boundary value problem at resonance II

Author keywords

Landesman Lazer condition; Leray Schauder continuation method

Indexed keywords

BOUNDARY VALUE PROBLEMS; PROBLEM SOLVING; RESONANCE; THEOREM PROVING;

EID: 0038823994     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00113-5     Document Type: Article
Times cited : (1)

References (16)
  • 1
    • 84968518166 scopus 로고
    • A resonance problem in which the nonlinearity may grow linearly
    • Ahmad S. A resonance problem in which the nonlinearity may grow linearly. Proc. Amer. Math. Soc. 92:1984;381-383.
    • (1984) Proc. Amer. Math. Soc. , vol.92 , pp. 381-383
    • Ahmad, S.1
  • 2
    • 0001074802 scopus 로고
    • Characterizations of the ranges of some nonlinear operators and applications to boundary value problems
    • Brezis H., Nirenberg L. Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Ann. Scu. Norm. Sup. Pisa. 5:1978;225-326.
    • (1978) Ann. Scu. Norm. Sup. Pisa , vol.5 , pp. 225-326
    • Brezis, H.1    Nirenberg, L.2
  • 3
    • 1242297157 scopus 로고
    • Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
    • DeFigueiredo D.G., Gossez J.P. Nonlinear perturbations of a linear elliptic problem near its first eigenvalue. J. Differential Equations. 30:1978;1-19.
    • (1978) J. Differential Equations , vol.30 , pp. 1-19
    • DeFigueiredo, D.G.1    Gossez, J.P.2
  • 5
    • 0010951026 scopus 로고
    • Landesman-Lazer condition for nonlinear problems with jumping nonlinearities
    • Drábek P. Landesman-Lazer condition for nonlinear problems with jumping nonlinearities. J. Differential Equations. 85:1990;186-199.
    • (1990) J. Differential Equations , vol.85 , pp. 186-199
    • Drábek, P.1
  • 6
    • 38249028858 scopus 로고
    • Solvability of a boundary value problem with the nonlinearity satisfying a sign condition
    • Gupta C.P. Solvability of a boundary value problem with the nonlinearity satisfying a sign condition. J. Math. Anal. Appl. 129:1988;482-492.
    • (1988) J. Math. Anal. Appl. , vol.129 , pp. 482-492
    • Gupta, C.P.1
  • 7
    • 84971730942 scopus 로고
    • On a resonance problem with nonlinearities of arbitrary polynomial growth
    • Ha C.-W., Song W.-B. On a resonance problem with nonlinearities of arbitrary polynomial growth. Bull. Austral. Math. Soc. 48:1993;435-440.
    • (1993) Bull. Austral. Math. Soc. , vol.48 , pp. 435-440
    • Ha, C.-W.1    Song, W.-B.2
  • 8
    • 0001422916 scopus 로고
    • Unbounded perturbations of forced second order ordinary differential equations at resonance
    • Iannacci R., Nkashama M.N. Unbounded perturbations of forced second order ordinary differential equations at resonance. J. Differential Equations. 96:1987;289-309.
    • (1987) J. Differential Equations , vol.96 , pp. 289-309
    • Iannacci, R.1    Nkashama, M.N.2
  • 9
    • 0001152494 scopus 로고
    • Nonlinear two point boundary value problems at resonance without Landesman-Lazer condition
    • Iannacci R., Nkashama M.N. Nonlinear two point boundary value problems at resonance without Landesman-Lazer condition. Proc. Amer. Math. Soc. 106:1989;934-952.
    • (1989) Proc. Amer. Math. Soc. , vol.106 , pp. 934-952
    • Iannacci, R.1    Nkashama, M.N.2
  • 10
    • 84968502874 scopus 로고
    • Existence of solutions of x″ + x + g(x) = p(t), x(0) = 0 = x(π)
    • Kannan R., Ortega R. Existence of solutions of. x″+x+g(x)=p(t), x(0)=0=x(π) Proc. Amer. Math. Soc. 96:1986;67-70.
    • (1986) Proc. Amer. Math. Soc. , vol.96 , pp. 67-70
    • Kannan, R.1    Ortega, R.2
  • 11
    • 0038667015 scopus 로고    scopus 로고
    • On the solvability of nonselfadjoint resonance problems
    • Kuo C.-C. On the solvability of nonselfadjoint resonance problems. Nonlinear Anal. 26:1996;887-891.
    • (1996) Nonlinear Anal. , vol.26 , pp. 887-891
    • Kuo, C.-C.1
  • 12
    • 0031563751 scopus 로고    scopus 로고
    • Solvability of a nonlinear two point boundary value problem at resonance
    • Kuo C.-C. Solvability of a nonlinear two point boundary value problem at resonance. J. Differential Equations. 140:1997;1-9.
    • (1997) J. Differential Equations , vol.140 , pp. 1-9
    • Kuo, C.-C.1
  • 13
    • 0038328400 scopus 로고    scopus 로고
    • Some existence theorems for nonselfadjoint resonance problems
    • Kuo C.-C. Some existence theorems for nonselfadjoint resonance problems. Comm. Appl. Nonlinear Anal. 7:2000;63-72.
    • (2000) Comm. Appl. Nonlinear Anal. , vol.7 , pp. 63-72
    • Kuo, C.-C.1
  • 14
    • 0000851112 scopus 로고
    • Nonlinear perturbations of linear elliptic boundary value problems at resonance
    • Landesman E.M., Lazer A.C. Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. 19:1970;609-623.
    • (1970) J. Math. Mech. , vol.19 , pp. 609-623
    • Landesman, E.M.1    Lazer, A.C.2
  • 15
    • 84974121539 scopus 로고
    • A note on resonance problems with nonlinearity bounded in one direction
    • Ma T.-F., Sanchez L. A note on resonance problems with nonlinearity bounded in one direction. Bull. Austral. Math. Soc. 52:1995;183-188.
    • (1995) Bull. Austral. Math. Soc. , vol.52 , pp. 183-188
    • Ma, T.-F.1    Sanchez, L.2
  • 16
    • 0000776806 scopus 로고
    • Necessary and sufficient conditions for the solvability of a nonlinear two-point boundary value problem
    • Mawhin J., Ward J.R. Jr., Willem M. Necessary and sufficient conditions for the solvability of a nonlinear two-point boundary value problem. Proc. Amer. Math. Soc. 93:1985;667-674.
    • (1985) Proc. Amer. Math. Soc. , vol.93 , pp. 667-674
    • Mawhin, J.1    Ward J.R., Jr.2    Willem, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.