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Volumn 67, Issue 1-2, 1997, Pages 99-120

Existence and estimates of twin positive solution for two-point right focal boundary value problems

Author keywords

Boundary value problems; Positive solution

Indexed keywords


EID: 0346887826     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036819708840599     Document Type: Article
Times cited : (2)

References (43)
  • 1
    • 0002286905 scopus 로고
    • Boundary Value Problems for Higher Order Differential Equations
    • Agarwal, R.P., 1986. Boundary Value Problems for Higher Order Differential Equations. World Scientific.
    • (1986) World Scientific
    • Agarwal, R.P.1
  • 2
    • 0009443606 scopus 로고    scopus 로고
    • On superlinear and sublinear (n, p) boundary value problems for higherorder difference equations
    • Agarwal, R.P., Henderson, J., and Wong, P.J.Y., 1997. On superlinear and sublinear (n, p) boundary value problems for higherorder difference equations. Nonlinear World, 4: 101-115.
    • (1997) Nonlinear World , vol.4 , pp. 101-115
    • Agarwal, R.P.1    Henderson, J.2    Wong, P.J.Y.3
  • 3
    • 52449140232 scopus 로고
    • Existence of solutions for singular boundary value problems for higher order differential equations
    • Agarwal, R.P., and Wong, P.J.Y., 1995. Existence of solutions for singular boundary value problems for higher order differential equations. Rendiconti del Seminario Mathematico e Fisico di Milano, 55: 249-264.
    • (1995) Rendiconti del Seminario Mathematico e Fisico di Milano , vol.55 , pp. 249-264
    • Agarwal, R.P.1    Wong, P.J.Y.2
  • 5
    • 0001483956 scopus 로고
    • Stabilization of solutions of a degenerate nonlinear diffusion problem
    • Aronson, D., Crandall, M.G., and Peletier, L.A., 1982. Stabilization of solutions of a degenerate nonlinear diffusion problem. Nonlinear Analysis, 6: 1001-1022.
    • (1982) Nonlinear Analysis , vol.6 , pp. 1001-1022
    • Aronson, D.1    Crandall, M.G.2    Peletier, L.A.3
  • 8
    • 0001591206 scopus 로고
    • Semilinear elliptic problems in annular domains
    • Bandle, C., 1989. Semilinear elliptic problems in annular domains. J.Appl. Math. Phys, 40: 245-257.
    • (1989) J.Appl. Math. Phys , vol.40 , pp. 245-257
    • Bandle, C.1
  • 9
    • 0000564824 scopus 로고
    • An unexpected stability result of the near-extinction diffusion flame for non-unity Lewis numbers
    • Choi, Y.S., and Ludford, G.S., 1989. An unexpected stability result of the near-extinction diffusion flame for non-unity Lewis numbers. Q.J. Mech. Appl. Math, 45: 143-158.
    • (1989) Q.J. Mech. Appl. Math , vol.45 , pp. 143-158
    • Choi, Y.S.1    Ludford, G.S.2
  • 10
    • 0001479413 scopus 로고
    • Positive solutions for singular higher order non-linear equations
    • Chyan, C.J., and Hendrerson, J., 1994. Positive solutions for singular higher order non-linear equations. Diff.Eqs. Dyn. Sys, 2: 153-160.
    • (1994) Diff.Eqs. Dyn. Sys , vol.2 , pp. 153-160
    • Chyan, C.J.1    Hendrerson, J.2
  • 11
    • 0001926109 scopus 로고
    • Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory
    • Cohen, D.S., 1971. Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory. SIAM J. Appl. Math, 20: 1-13.
    • (1971) SIAM J. Appl. Math , vol.20 , pp. 1-13
    • Cohen, D.S.1
  • 12
    • 0001069004 scopus 로고
    • On the structure of solutions of an equation in catalysis theory when a parameter is large
    • Dancer, E.N., 1980. On the structure of solutions of an equation in catalysis theory when a parameter is large. J. Differential Equations, 37: 404-437.
    • (1980) J. Differential Equations , vol.37 , pp. 404-437
    • Dancer, E.N.1
  • 13
    • 0002309040 scopus 로고
    • Positive solutions for higher order ordinary differential equations
    • Eloe, P.W., and Henderson, J., 1995. Positive solutions for higher order ordinary differential equations. Electronic J. of Differential Equations, 3: 1-8.
    • (1995) Electronic J. of Differential Equations , vol.3 , pp. 1-8
    • Eloe, P.W.1    Henderson, J.2
  • 14
    • 0031146437 scopus 로고    scopus 로고
    • Positive solutions for (n-1, 1)boundary value problems
    • Eloe, P.W., and Henderson, J., 1997. Positive solutions for (n-1,1)boundary value problems. Nonlinear Analysis, 28: 1669-1680.
    • (1997) Nonlinear Analysis , vol.28 , pp. 1669-1680
    • Eloe, P.W.1    Henderson, J.2
  • 15
    • 43949161468 scopus 로고
    • Multiple positive solutions of some boundary value problems
    • Erbe, L.H., Hu, S., and Wang, H., 1994. Multiple positive solutions of some boundary value problems. J.Math. Anal. Appl, 184: 640-648.
    • (1994) J.Math. Anal. Appl , vol.184 , pp. 640-648
    • Erbe, L.H.1    Hu, S.2    Wang, H.3
  • 16
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • Erbe, L.H., and Wang, H., 1994. On the existence of positive solutions of ordinary differential equations. Proc. Amer. Math. Soc, 120: 743-748.
    • (1994) Proc. Amer. Math. Soc , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 17
    • 0001887991 scopus 로고    scopus 로고
    • The radial Laplacian Gel'fand problem
    • World Sci. Publishing, (Ames, IA, 1991
    • Fink, A.M., “ The radial Laplacian Gel'fand problem ”. In Delay and Differential Equations, 93-98. World Sci. Publishing. (Ames, IA, 1991)
    • Delay and Differential Equations , pp. 93-98
    • Fink, A.M.1
  • 19
    • 84968487215 scopus 로고
    • On the nonlinear equations
    • Fujita, H., 1969. On the nonlinear equations. Bull. Amer. Math. Soc, 75: 132-135.
    • (1969) Bull. Amer. Math. Soc , vol.75 , pp. 132-135
    • Fujita, H.1
  • 20
    • 0003110611 scopus 로고
    • Existence of positive radial solutions for semilinear elliptic problems in the annulus
    • Garaizar, X., 1987. Existence of positive radial solutions for semilinear elliptic problems in the annulus. J. Differential Equations, 70: 69-72.
    • (1987) J. Differential Equations , vol.70 , pp. 69-72
    • Garaizar, X.1
  • 21
    • 0002123175 scopus 로고
    • Singular nonlinear boundary value problems for second-order ordinary differential equations
    • Gatica, J.A., Oliker, V., and Waltman, P., 1989. Singular nonlinear boundary value problems for second-order ordinary differential equations. J. Differential Equations, 79: 62-78.
    • (1989) J. Differential Equations , vol.79 , pp. 62-78
    • Gatica, J.A.1    Oliker, V.2    Waltman, P.3
  • 22
    • 0000247179 scopus 로고
    • Some problems in the theory of quasilinear equtions, Uspehi Mat
    • 14(1959)87-158English translation
    • Gel'fand, I.M., 1963. Some problems in the theory of quasilinear equtions, Uspehi Mat. Trans. Amer. Math. Soc, 29: 295-381. 14(1959)87-158English translation
    • (1963) Trans. Amer. Math. Soc , vol.29 , pp. 295-381
    • Gel'fand, I.M.1
  • 24
    • 84972525379 scopus 로고
    • Comparison of eigenvalue for focal point problems for n-th order difference equations
    • Hankerson, D., and Peterson, A.C., 1990. Comparison of eigenvalue for focal point problems for n-th order difference equations. Differential and Integral Eqns, 3: 363-380.
    • (1990) Differential and Integral Eqns , vol.3 , pp. 363-380
    • Hankerson, D.1    Peterson, A.C.2
  • 25
    • 0001091334 scopus 로고
    • Singular boundary value problems for difference equations
    • Henderson, J., 1992. Singular boundary value problems for difference equations. Dynamic System and Applications, 1: 271-282.
    • (1992) Dynamic System and Applications , vol.1 , pp. 271-282
    • Henderson, J.1
  • 28
    • 84954810567 scopus 로고
    • Two positive solutions of a boundary value problem for difference equtions
    • Merdivenci, F., 1995. Two positive solutions of a boundary value problem for difference equtions. J. Difference Eqns. Appl, 1: 262-270.
    • (1995) J. Difference Eqns. Appl , vol.1 , pp. 262-270
    • Merdivenci, F.1
  • 29
    • 0001771783 scopus 로고
    • Green' matrices and positive solutions of a discrete boundary value problem
    • Merdivenci, F., 1995. Green' matrices and positive solutions of a discrete boundary value problem. PanAmerican Math. J, 5: 25-42.
    • (1995) PanAmerican Math. J , vol.5 , pp. 25-42
    • Merdivenci, F.1
  • 30
    • 0002265474 scopus 로고
    • Positive solutions for focal point problems for 2n-th order difference equations
    • Merdivenci, F., 1995. Positive solutions for focal point problems for 2n-th order difference equations. PanAmerican Math. J, 5: 71-82.
    • (1995) PanAmerican Math. J , vol.5 , pp. 71-82
    • Merdivenci, F.1
  • 32
    • 0001310672 scopus 로고
    • Solutions of differential equations arising in chemical reactor processes
    • Parter, S., 1974. Solutions of differential equations arising in chemical reactor processes. SIAM J. Appl. Math, 26: 687-716.
    • (1974) SIAM J. Appl. Math , vol.26 , pp. 687-716
    • Parter, S.1
  • 33
    • 0001108964 scopus 로고
    • Boundary value problems for an n-th order difference equatio
    • Peterson, A.C., 1984. Boundary value problems for an n-th order difference equatio. SIAM J. Math. Anal, 15: 124-132.
    • (1984) SIAM J. Math. Anal , vol.15 , pp. 124-132
    • Peterson, A.C.1
  • 34
    • 0002746770 scopus 로고
    • On the existence of positive solutions for semilinear elliptic equtions in the annulus
    • Wang, H., 1994. On the existence of positive solutions for semilinear elliptic equtions in the annulus. J. Differential Equations, 109: 1-7.
    • (1994) J. Differential Equations , vol.109 , pp. 1-7
    • Wang, H.1
  • 35
    • 0000737204 scopus 로고    scopus 로고
    • Eigenvalues of boundary value problems for higher order differential equations
    • Wong, P.J.Y., and Agarwal, R.P., 1996. Eigenvalues of boundary value problems for higher order differential equations. Mathematical Problems in Engineering, 32: 401-434.
    • (1996) Mathematical Problems in Engineering , vol.32 , pp. 401-434
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 36
    • 0030258083 scopus 로고    scopus 로고
    • Double positive solutions of (n, p) boundary value problems for higher order difference equations
    • Wong, P.J.Y., and Agarwal, R.P., 1996. Double positive solutions of (n, p) boundary value problems for higher order difference equations. Computers Math. Appl, 32 (8): 1-21.
    • (1996) Computers Math. Appl , vol.32 , Issue.8 , pp. 1-21
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 37
    • 0030819350 scopus 로고    scopus 로고
    • On the existence of solutions of singular boundary value problems forhigher order difference equations
    • Wong, P.J.Y., and Agarwal, R.P., 1997. On the existence of solutions of singular boundary value problems forhigher order difference equations. Nonlinear Analysis, 28 (8): 277-287.
    • (1997) Nonlinear Analysis , vol.28 , Issue.8 , pp. 277-287
    • Wong, P.J.Y.1    Agarwal, R.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.