메뉴 건너뛰기




Volumn 46, Issue 12, 2003, Pages 1799-1826

Two-point higher-order BVPs with singularities in phase variables

Author keywords

(n, p) boundary conditions; Existence; Lidstone boundary conditions; Regularization; Singular higher order differential equation; Topological degree; Vitali's theorem

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING; TOPOLOGY;

EID: 0344272301     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90238-0     Document Type: Article
Times cited : (17)

References (33)
  • 2
    • 49249143125 scopus 로고
    • A nonlinear singular boundary value problem
    • S.D. Taliaferro, A nonlinear singular boundary value problem, Nonlin. Anal. 3, 897-904, (1979).
    • (1979) Nonlin. Anal. , vol.3 , pp. 897-904
    • Taliaferro, S.D.1
  • 3
    • 85030926423 scopus 로고    scopus 로고
    • On a two-point boundary value problem for second order singular equations
    • (to appear)
    • A. Lomtatidze and P. Torres, On a two-point boundary value problem for second order singular equations, Czech. Math. J. (to appear).
    • Czech. Math. J.
    • Lomtatidze, A.1    Torres, P.2
  • 4
    • 0033876875 scopus 로고    scopus 로고
    • Some new results for singular problems with sign changing nonlinearities
    • R.P. Agarwal and D. O'Regan, Some new results for singular problems with sign changing nonlinearities, J. Comput. Appl. Math. 113, 1-15, (2000).
    • (2000) J. Comput. Appl. Math. , vol.113 , pp. 1-15
    • Agarwal, R.P.1    O'Regan, D.2
  • 5
    • 4644357382 scopus 로고    scopus 로고
    • Sign-changing solutions of singular Dirichlet boundary value problems
    • (to appear)
    • I. Rachůnková and S. Stanêk, Sign-changing solutions of singular Dirichlet boundary value problems, Journal Inequal. Appl. (to appear).
    • Journal Inequal. Appl.
    • Rachůnková, I.1    Stanêk, S.2
  • 7
    • 0024866030 scopus 로고
    • Lidstone polynomials and boundary value problems
    • R.P. Agarwal and P.J.Y. Wong, Lidstone polynomials and boundary value problems, Computers Math. Applic. 17 (10), 1397-1421, (1989).
    • (1989) Computers Math. Applic. , vol.17 , Issue.10 , pp. 1397-1421
    • Agarwal, R.P.1    Wong, P.J.Y.2
  • 8
    • 0002974877 scopus 로고    scopus 로고
    • Eigenvalues of Lidstone boundary value problems
    • P.J.Y. Wong and R.P. Agarwal, Eigenvalues of Lidstone boundary value problems, Appl. Math. Comput. 104, 15-31, (1999).
    • (1999) Appl. Math. Comput. , vol.104 , pp. 15-31
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 9
    • 0034301778 scopus 로고    scopus 로고
    • Singular (p,n-p) focal and (n,p) higher order boundary value problems
    • R.P. Agarwal, D. O'Regan and V. Lakshmikanthan, Singular (p,n-p) focal and (n,p) higher order boundary value problems, Nonlin. Anal. 42, 215-228, (2000).
    • (2000) Nonlin. Anal. , vol.42 , pp. 215-228
    • Agarwal, R.P.1    O'Regan, D.2    Lakshmikanthan, V.3
  • 10
    • 0032127339 scopus 로고    scopus 로고
    • Singular differential equations with (n,p) boundary conditions
    • P.J.Y. Wong and R.P. Agarwal, Singular differential equations with (n,p) boundary conditions, Mathl. Comput. Modelling 28 (1), 37-44, (1998).
    • (1998) Mathl. Comput. Modelling , vol.28 , Issue.1 , pp. 37-44
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 15
    • 0001711639 scopus 로고    scopus 로고
    • Positive solutions for (p,n-p) conjugate boundary value problems
    • R.P. Agarwal and D. O'Regan, Positive solutions for (p,n-p) conjugate boundary value problems, J. Differential Equations 150, 462-473, (1998).
    • (1998) J. Differential Equations , vol.150 , pp. 462-473
    • Agarwal, R.P.1    O'Regan, D.2
  • 16
    • 22644451862 scopus 로고    scopus 로고
    • Right focal singular boundary value problems
    • R.P. Agarwal and D. O'Regan, Right focal singular boundary value problems, Zeit. Angew. Math. Mech. 79, 363-373, (1999).
    • (1999) Zeit. Angew. Math. Mech. , vol.79 , pp. 363-373
    • Agarwal, R.P.1    O'Regan, D.2
  • 17
    • 23044518424 scopus 로고    scopus 로고
    • Twin solutions to singular boundary value problems
    • R.P. Agarwal and D. O'Regan, Twin solutions to singular boundary value problems, Proc. AMS 128, 2085-2094, (2000).
    • (2000) Proc. AMS , vol.128 , pp. 2085-2094
    • Agarwal, R.P.1    O'Regan, D.2
  • 18
    • 33646716607 scopus 로고
    • Singular nonlinear boundary value problems for higher order ordinary differential equations
    • W.P. Eloe and J. Henderson, Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin. Anal. 17, 1-10, (1991).
    • (1991) Nonlin. Anal. , vol.17 , pp. 1-10
    • Eloe, W.P.1    Henderson, J.2
  • 19
    • 84983991402 scopus 로고
    • Existence of solutions for some higher order boundary value problems
    • W.P. Eloe and J. Henderson, Existence of solutions for some higher order boundary value problems, Zeit. Angew. Math. Mech. 73, 315-323, (1993).
    • (1993) Zeit. Angew. Math. Mech. , vol.73 , pp. 315-323
    • Eloe, W.P.1    Henderson, J.2
  • 20
    • 0002309040 scopus 로고
    • Positive solutions for higher order ordinary differential equations
    • W.P. Eloe and J. Henderson, Positive solutions for higher order ordinary differential equations, Electronic J. of Differential Equations 3, 1-8, (1995).
    • (1995) Electronic J. of Differential Equations , vol.3 , pp. 1-8
    • Eloe, W.P.1    Henderson, J.2
  • 21
    • 0042124785 scopus 로고    scopus 로고
    • Singular nonlinear (n-1,1) conjugate boundary value problems
    • W.P. Eloe and J. Henderson, Singular nonlinear (n-1,1) conjugate boundary value problems, Georgian Math. J. 4, 401-412, (1997).
    • (1997) Georgian Math. J. , vol.4 , pp. 401-412
    • Eloe, W.P.1    Henderson, J.2
  • 22
    • 0031146437 scopus 로고    scopus 로고
    • Positive solutions for (n-1,1) conjugate boundary value problems
    • W.P. Eloe and J. Henderson, Positive solutions for (n-1,1) conjugate boundary value problems, Nonlin. Anal. 28, 1669-1680, (1997).
    • (1997) Nonlin. Anal. , vol.28 , pp. 1669-1680
    • Eloe, W.P.1    Henderson, J.2
  • 23
    • 0030637292 scopus 로고    scopus 로고
    • Singular nonlinear (k,n-k) conjugate boundary value problems
    • W.P. Eloe and J. Henderson, Singular nonlinear (k,n-k) conjugate boundary value problems, J. Differential Equations 133, 136-151, (1997).
    • (1997) J. Differential Equations , vol.133 , pp. 136-151
    • Eloe, W.P.1    Henderson, J.2
  • 24
    • 21744462315 scopus 로고    scopus 로고
    • Inequalities based on a generalization of concavity
    • W.P. Eloe and J. Henderson, Inequalities based on a generalization of concavity, Proc. AMS 125, 2103-2107, (1997).
    • (1997) Proc. AMS , vol.125 , pp. 2103-2107
    • Eloe, W.P.1    Henderson, J.2
  • 25
    • 38249027575 scopus 로고
    • Existence and uniqueness results for the bending of an elastic beam equation at resonance
    • C.P. Gupta, Existence and uniqueness results for the bending of an elastic beam equation at resonance, J. Math. Anal. Appl. 135, 208-225, (1988).
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 208-225
    • Gupta, C.P.1
  • 26
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth-order ordinary differential equations
    • R. Ma and H. Wang, On the existence of positive solutions of fourth-order ordinary differential equations, Appl. Anal. 59, 225-231, (1995).
    • (1995) Appl. Anal. , vol.59 , pp. 225-231
    • Ma, R.1    Wang, H.2
  • 27
    • 38249019613 scopus 로고
    • Fourth (and higher) order singular boundary value problems
    • D. O'Regan, Fourth (and higher) order singular boundary value problems, Nonlin. Anal. 14, 1001-1038, (1990).
    • (1990) Nonlin. Anal. , vol.14 , pp. 1001-1038
    • O'Regan, D.1
  • 28
    • 0002872438 scopus 로고
    • Solvability of some fourth (and higher) order singular boundary value problems
    • D. O'Regan, Solvability of some fourth (and higher) order singular boundary value problems, J. Math. Anal. Appl. 161, 78-116, (1991).
    • (1991) J. Math. Anal. Appl. , vol.161 , pp. 78-116
    • O'Regan, D.1
  • 29
    • 0345619810 scopus 로고
    • Solvability of some singular and nonsingular third order boundary value problems
    • D. O'Regan, Solvability of some singular and nonsingular third order boundary value problems, Ann. Pol. Math. LIV, 183-194, (1991).
    • (1991) Ann. Pol. Math. , vol.54 , pp. 183-194
    • O'Regan, D.1
  • 30
    • 38149145852 scopus 로고
    • A singular nonlinear boundary value problem for a higher order ordinary differential equation
    • J.Y. Wang, A singular nonlinear boundary value problem for a higher order ordinary differential equation, Nonlin. Anal. 22, 1051-1056, (1994).
    • (1994) Nonlin. Anal. , vol.22 , pp. 1051-1056
    • Wang, J.Y.1
  • 31
    • 52449140232 scopus 로고
    • Existence of solutions for singular boundary value problems for higher order differential equations
    • P.J.Y. Wong and R.P. Agarwal, Existence of solutions for singular boundary value problems for higher order differential equations, Rendiconti Mat. Fis. Milano 55, 249-264, (1995).
    • (1995) Rendiconti Mat. Fis. Milano , vol.55 , pp. 249-264
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 32
    • 0034346754 scopus 로고    scopus 로고
    • Results and estimates on multiple solutions of Lidstone boundary value problem
    • P.J.Y. Wong and R.P. Agarwal, Results and estimates on multiple solutions of Lidstone boundary value problem, Acta Math. Hungar. 86 (1/2), 137-168, (2000).
    • (2000) Acta Math. Hungar. , vol.86 , Issue.1-2 , pp. 137-168
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 33
    • 84968518888 scopus 로고
    • Fourth-order, two-point boundary value problems
    • Y.S. Yang, Fourth-order, two-point boundary value problems, Proc. AMS 104, 175-180, (1988).
    • (1988) Proc. AMS , vol.104 , pp. 175-180
    • Yang, Y.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.