메뉴 건너뛰기




Volumn 6, Issue 2, 2007, Pages 441-451

Positive solutions of semi-positone hammerstein integral equations and applications

Author keywords

Cone; Conjugate boundary value problem; Hammerstein integral equation; Multiple positive solutions; Semi positone

Indexed keywords


EID: 34248203767     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2007.6.441     Document Type: Article
Times cited : (26)

References (34)
  • 1
    • 11044233609 scopus 로고    scopus 로고
    • Grace and Donal O'Regan, Existence of positive solutions to semipositone Fredholm integral equations
    • Ravi P. Agarwal, S.R. Grace and Donal O'Regan, Existence of positive solutions to semipositone Fredholm integral equations, Funkcial. Ekvac., 45 (2002), no. 2, 223-235.
    • (2002) Funkcial. Ekvac , vol.45 , Issue.2 , pp. 223-235
    • Ravi, P.1    Agarwal, S.R.2
  • 2
    • 1242329922 scopus 로고    scopus 로고
    • Grace and Donal O'Regan, Semipositone higer-order differential equations
    • Ravi P. Agarwal, S.R. Grace and Donal O'Regan, Semipositone higer-order differential equations, Appl. Math. Lett., 17 (2004), 201-207.
    • (2004) Appl. Math. Lett , vol.17 , pp. 201-207
    • Ravi, P.1    Agarwal, S.R.2
  • 3
    • 0032066967 scopus 로고    scopus 로고
    • The existence of positive solutions for the SturmLiouville boundary value problems
    • R.P. Agarwal, H.L. Hong and C.C. Yen, The existence of positive solutions for the SturmLiouville boundary value problems, Comput. Math. Appl., 35 (1998), no. 9, 89-96.
    • (1998) Comput. Math. Appl , vol.35 , Issue.9 , pp. 89-96
    • Agarwal, R.P.1    Hong, H.L.2    Yen, C.C.3
  • 4
    • 0041917637 scopus 로고    scopus 로고
    • Multiplicity results for singular conjugate, focal, and (N,P) problems
    • R.P. Agarwal and D. O'Regan, Multiplicity results for singular conjugate, focal, and (N,P) problems, J. Differential Equations, 170 (2001), 142-156.
    • (2001) J. Differential Equations , vol.170 , pp. 142-156
    • Agarwal, R.P.1    O'Regan, D.2
  • 5
    • 0001711639 scopus 로고    scopus 로고
    • Positive solutions for (p, n -p) conjugate boundary value problems, 3
    • R.P. Agarwal and D. O'Regan, Positive solutions for (p, n -p) conjugate boundary value problems, 3. Differential Equations, 150 (1998), 462-473.
    • (1998) Differential Equations , vol.150 , pp. 462-473
    • Agarwal, R.P.1    O'Regan, D.2
  • 6
    • 21344469416 scopus 로고    scopus 로고
    • Existence results for superlinear semipositone BVP's
    • V. Anuradha, D.D. Hai and R. Shivaji, Existence results for superlinear semipositone BVP's, Proc. Amer. Math. Soc., 124 (1996), no. 3, 757-763.
    • (1996) Proc. Amer. Math. Soc , vol.124 , Issue.3 , pp. 757-763
    • Anuradha, V.1    Hai, D.D.2    Shivaji, R.3
  • 7
    • 0242396703 scopus 로고    scopus 로고
    • Positive solutions to a second order multi-point boundary-value problem
    • D. Cao and R. Ma, Positive solutions to a second order multi-point boundary-value problem, Electron. J. Differential Equations, 65 (2000), 1-8.
    • (2000) Electron. J. Differential Equations , vol.65 , pp. 1-8
    • Cao, D.1    Ma, R.2
  • 8
    • 84976003896 scopus 로고
    • Nonnegative solutions for a class of nonpositone problems
    • A. Castro and R. Shivaji, Nonnegative solutions for a class of nonpositone problems, Proc. Roy. Soc. Edinburgh Sect. A, 108 (1988), 291-302.
    • (1988) Proc. Roy. Soc. Edinburgh Sect. A , vol.108 , pp. 291-302
    • Castro, A.1    Shivaji, R.2
  • 9
    • 84972498049 scopus 로고
    • An extension of Tietze's Theorem
    • J. Dugundji, An extension of Tietze's Theorem, Pacific J, Math., 1 (1951), 353-367.
    • (1951) Pacific J, Math , vol.1 , pp. 353-367
    • Dugundji, J.1
  • 10
    • 43949161468 scopus 로고
    • Multiple positive solutions of some boundary value problems
    • L.H. Erbe, S. Hu and H. Wang, Multiple positive solutions of some boundary value problems, J. Math. Anal. Appl., 184 (1994), 640-648.
    • (1994) J. Math. Anal. Appl , vol.184 , pp. 640-648
    • Erbe, L.H.1    Hu, S.2    Wang, H.3
  • 11
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • L.H. Erbe and H.Y. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc., 120 (1994), 743-748.
    • (1994) Proc. Amer. Math. Soc , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.Y.2
  • 12
    • 0030637292 scopus 로고    scopus 로고
    • Singular nonlinear (k, n-k) conjugate boundary value problems, 3
    • P.W. Eloe and J. Henderson, Singular nonlinear (k, n-k) conjugate boundary value problems, 3. Differential Equations, 133 (1997), 136-151.
    • (1997) Differential Equations , vol.133 , pp. 136-151
    • Eloe, P.W.1    Henderson, J.2
  • 14
    • 0242690998 scopus 로고    scopus 로고
    • New existence theorem of positive solutions for Sturm-Liouville boundary value problems
    • W. Ge and J. Ren, New existence theorem of positive solutions for Sturm-Liouville boundary value problems, Appl. Math. Comput., 148 (2004), 631-644.
    • (2004) Appl. Math. Comput , vol.148 , pp. 631-644
    • Ge, W.1    Ren, J.2
  • 15
    • 0035869865 scopus 로고    scopus 로고
    • The Green's function for (k, n -k) conjugate boundary value problems and its applications, 3
    • L. Kong and J. Wang, The Green's function for (k, n -k) conjugate boundary value problems and its applications, 3. Math. Anal. Appl., 255 (2001), 404-422.
    • (2001) Math. Anal. Appl , vol.255 , pp. 404-422
    • Kong, L.1    Wang, J.2
  • 16
    • 8744315870 scopus 로고    scopus 로고
    • Semipositone m-point boundary value problems
    • N. Kosmatov, Semipositone m-point boundary value problems, Electron. J. Differential Equations, 119 (2004), 1-7.
    • (2004) Electron. J. Differential Equations , vol.119 , pp. 1-7
    • Kosmatov, N.1
  • 17
    • 33645026223 scopus 로고    scopus 로고
    • Multiple positive solutions of semi-positone Sturm-Liouville boundary value problems
    • K.Q. Lan, Multiple positive solutions of semi-positone Sturm-Liouville boundary value problems, Bull. London Math. Soc., 38 (2006), 283-293.
    • (2006) Bull. London Math. Soc , vol.38 , pp. 283-293
    • Lan, K.Q.1
  • 18
    • 31544467278 scopus 로고    scopus 로고
    • Multiple eigenvalues for singular Hammerstein integral equations with applications to boundary value problems, 3
    • K.Q. Lan, Multiple eigenvalues for singular Hammerstein integral equations with applications to boundary value problems, 3. Comput. Appl. Math., 189 (2006), 109-119.
    • (2006) Comput. Appl. Math , vol.189 , pp. 109-119
    • Lan, K.Q.1
  • 19
    • 85039175343 scopus 로고    scopus 로고
    • K.Q. Lan, Properties of kernels and eigenvalues for three point boundary value problems, Discrete Contin. Dyn. Syst., Added 2005, 546-555.
    • K.Q. Lan, Properties of kernels and eigenvalues for three point boundary value problems, Discrete Contin. Dyn. Syst., Added Vol. (2005), 546-555.
  • 20
    • 28044456734 scopus 로고    scopus 로고
    • Multiple positive eigenfunctions of singular Hammerstein integral equations with applications to boundary value problems
    • K.Q. Lan, Multiple positive eigenfunctions of singular Hammerstein integral equations with applications to boundary value problems, Nonlinear Anal., 63 (2005), e2665-e2663.
    • (2005) Nonlinear Anal , vol.63
    • Lan, K.Q.1
  • 21
    • 2942711814 scopus 로고    scopus 로고
    • Multiple positive solutions of Hammerstein integral equations and applications to periodic boundary value problems
    • K.Q. Lan, Multiple positive solutions of Hammerstein integral equations and applications to periodic boundary value problems, Applied Math. Comput., 154 (2004), 531-542.
    • (2004) Applied Math. Comput , vol.154 , pp. 531-542
    • Lan, K.Q.1
  • 22
    • 0141892641 scopus 로고    scopus 로고
    • Multiple positive solutions of conjugate boundary value problems with singularities
    • K.Q. Lan, Multiple positive solutions of conjugate boundary value problems with singularities, Appl. Math. Comput., 147 (2004), 461-474.
    • (2004) Appl. Math. Comput , vol.147 , pp. 461-474
    • Lan, K.Q.1
  • 25
    • 0001564494 scopus 로고    scopus 로고
    • Multiple positive solutions of Hammerstein integral equations with singularities
    • K.Q. Lan, Multiple positive solutions of Hammerstein integral equations with singularities, Differential Equations and Dynamical Systems, 8 (2000), 175-192.
    • (2000) Differential Equations and Dynamical Systems , vol.8 , pp. 175-192
    • Lan, K.Q.1
  • 26
    • 0001583818 scopus 로고    scopus 로고
    • Positive solutions of semilinear differential equations with singularities, 3
    • K.Q. Lan and J.R.L. Webb, Positive solutions of semilinear differential equations with singularities, 3. Differential Equations, 148 (1998), 407-421.
    • (1998) Differential Equations , vol.148 , pp. 407-421
    • Lan, K.Q.1    Webb, J.R.L.2
  • 27
    • 0142056107 scopus 로고    scopus 로고
    • Twin solutions to singular semipositone problems, 3
    • Y. Liu, Twin solutions to singular semipositone problems, 3. Math. Anal. Appl., 286 (2003), 248-260.
    • (2003) Math. Anal. Appl , vol.286 , pp. 248-260
    • Liu, Y.1
  • 28
    • 0034369943 scopus 로고    scopus 로고
    • Positive solutions for semipositone (k,n -k) conjugate boundary value problems, 3
    • R. Ma, Positive solutions for semipositone (k,n -k) conjugate boundary value problems, 3. Math. Anal. Appl., 252 (2000), 220-229.
    • (2000) Math. Anal. Appl , vol.252 , pp. 220-229
    • Ma, R.1
  • 29
    • 0042914993 scopus 로고    scopus 로고
    • Existence of positive solutions for superlinear semipositone m-point boundary-value problems
    • R. Ma, Existence of positive solutions for superlinear semipositone m-point boundary-value problems, Proc. Edinb. Math. Soc., 46 (2003), 279-292.
    • (2003) Proc. Edinb. Math. Soc , vol.46 , pp. 279-292
    • Ma, R.1
  • 30
    • 17444414147 scopus 로고    scopus 로고
    • Positive solutions for semipositone m-point boundary-value problems
    • R. Ma and Q. Ma, Positive solutions for semipositone m-point boundary-value problems, Acta Math. Sin. (Engl. Ser.), 20 (2004), 273-282.
    • (2004) Acta Math. Sin. (Engl. Ser.) , vol.20 , pp. 273-282
    • Ma, R.1    Ma, Q.2
  • 31
    • 0035423894 scopus 로고    scopus 로고
    • Positive solutions of some three point boundary value problems via fixed point index theory
    • J.R.L. Webb, Positive solutions of some three point boundary value problems via fixed point index theory, Nonlinear Anal., 47 (2001), 4319-4332.
    • (2001) Nonlinear Anal , vol.47 , pp. 4319-4332
    • Webb, J.R.L.1
  • 32
    • 85039175306 scopus 로고    scopus 로고
    • J.R.L. Webb, Remarks on positive solutions of three point boundary value problems, Dynamical systems and differential equations (Wilmington, NC, 2002), Discrete Contin. Dynam. Systems, Added 2003), 905-915.
    • J.R.L. Webb, Remarks on positive solutions of three point boundary value problems, Dynamical systems and differential equations (Wilmington, NC, 2002), Discrete Contin. Dynam. Systems, Added Vol. (2003), 905-915.
  • 33
    • 33846102882 scopus 로고    scopus 로고
    • Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
    • J.R.L. Webb and K.Q. Lan, Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type, Topol. Methods Nonlinear Anal., 27 (2006), no. 1, 91-116.
    • (2006) Topol. Methods Nonlinear Anal , vol.27 , Issue.1 , pp. 91-116
    • Webb, J.R.L.1    Lan, K.Q.2
  • 34
    • 0037107095 scopus 로고    scopus 로고
    • Positive solutions for singular semi-positone boundary value problems, 3
    • X. Xian, Positive solutions for singular semi-positone boundary value problems, 3. Math. Anal. Appl., 273 (2002), 480-491.
    • (2002) Math. Anal. Appl , vol.273 , pp. 480-491
    • Xian, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.