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Volumn 40, Issue 1-2, 2004, Pages 101-116

A nonlocal boundary value problem with singularities in phase variables

Author keywords

Nonlocal boundary condition; Second order differential equation; Singular boundary value problem; Topological transversality principle; Vitali's convergence theorem

Indexed keywords

PHASE VARIABLES; REGULARIZATION; SEQUENTIAL TECHNIQUES;

EID: 9944222913     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2003.11.003     Document Type: Article
Times cited : (3)

References (29)
  • 1
    • 0040604699 scopus 로고
    • Solutions with a prescribed minimum and maximum
    • (in Russian) S.A. Brykalov Solutions with a prescribed minimum and maximum Differentsial'nye Uravneniya 29 1993 638 642
    • (1993) Differentsial'Nye Uravneniya , vol.29 , pp. 638-642
    • Brykalov, S.A.1
  • 3
    • 0040769999 scopus 로고
    • Solvability of problems with monotone boundary conditions
    • (in Russian) S.A. Brykalov Solvability of problems with monotone boundary conditions Differentsial'nye Uravneniya 29 1993 744 750
    • (1993) Differentsial'Nye Uravneniya , vol.29 , pp. 744-750
    • Brykalov, S.A.1
  • 5
    • 0042227256 scopus 로고    scopus 로고
    • Multiplicity results for problems with uniform norms in boundary conditions
    • S.A. Brykalov Multiplicity results for problems with uniform norms in boundary conditions Nonlinear Anal. 30 1997 4781 4788
    • (1997) Nonlinear Anal. , vol.30 , pp. 4781-4788
    • Brykalov, S.A.1
  • 6
    • 0041300518 scopus 로고
    • The interaction of linear boundary value and nonlinear functional conditions
    • M. Fečkan The interaction of linear boundary value and nonlinear functional conditions Ann. Polon. Math. 58 1993 299 310
    • (1993) Ann. Polon. Math. , vol.58 , pp. 299-310
    • Fečkan, M.1
  • 7
    • 0000012077 scopus 로고    scopus 로고
    • Upper and lower solutions to boundary value problems for functional-differential equations and theorems on functional-differential inequalities
    • R. Hakl, I. Kiguradze, and B. Pua Upper and lower solutions to boundary value problems for functional-differential equations and theorems on functional-differential inequalities Georgian Math. J. 7 2000 489 512
    • (2000) Georgian Math. J. , vol.7 , pp. 489-512
    • Hakl, R.1    Kiguradze, I.2    Pua, B.3
  • 8
    • 0343878192 scopus 로고    scopus 로고
    • On boundary value problems for third-order functional differential equations
    • A. Hašǎk, V. Pirč, and S. Staněk On boundary value problems for third-order functional differential equations Nonlinear Anal. 42 2000 1077 1089
    • (2000) Nonlinear Anal. , vol.42 , pp. 1077-1089
    • Hašǎk, A.1    Pirč, V.2    Staněk, S.3
  • 9
    • 31244433098 scopus 로고    scopus 로고
    • Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem
    • G.L. Karakostas, and P.Ch. Tsamatos Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem Appl. Math. Lett. 15 4 2002 401 407
    • (2002) Appl. Math. Lett. , vol.15 , Issue.4 , pp. 401-407
    • Karakostas, G.L.1    Tsamatos, P.Ch.2
  • 10
    • 85016486652 scopus 로고    scopus 로고
    • On the solvability of nonlinear boundary value problems for functional differential equations
    • I. Kiguradze, and B. Pua On the solvability of nonlinear boundary value problems for functional differential equations Georgian Math. J. 5 1998 251 262
    • (1998) Georgian Math. J. , vol.5 , pp. 251-262
    • Kiguradze, I.1    Pua, B.2
  • 12
    • 0004380447 scopus 로고    scopus 로고
    • Multiplicity results for second order nonlinear problems with maximum and minimum
    • S. Staněk Multiplicity results for second order nonlinear problems with maximum and minimum Math. Nachr. 192 1998 225 237
    • (1998) Math. Nachr. , vol.192 , pp. 225-237
    • Staněk, S.1
  • 13
    • 0035424549 scopus 로고    scopus 로고
    • Existence and multiplicity of solutions for functional boundary value problems
    • S. Staněk Existence and multiplicity of solutions for functional boundary value problems Nonlinear Anal. 47 2001 3925 3936
    • (2001) Nonlinear Anal. , vol.47 , pp. 3925-3936
    • Staněk, S.1
  • 14
    • 0000407888 scopus 로고    scopus 로고
    • On boundary value problems for functional differential equations
    • I. Kiguradze, and B. Pua On boundary value problems for functional differential equations Mem. Differential Equations Math. Phys. 12 1997 106 113
    • (1997) Mem. Differential Equations Math. Phys. , vol.12 , pp. 106-113
    • Kiguradze, I.1    Pua, B.2
  • 15
    • 0000950574 scopus 로고    scopus 로고
    • Singular boundary value problems for second order ordinary differential equations
    • Moscow (in Russian)
    • I.T. Kiguradze and B.L. Shekhter, Singular boundary value problems for second order ordinary differential equations, Current Problems in Math.: Newest Results, Moscow 30, 105-201 (in Russian)
    • Current Problems in Math.: Newest Results , vol.30 , pp. 105-201
    • Kiguradze, I.T.1    Shekhter, B.L.2
  • 17
    • 3042533193 scopus 로고    scopus 로고
    • On a nonlocal boundary value problem for second order nonlinear singular differential equations
    • A. Lomtatidze, and L. Malaguti On a nonlocal boundary value problem for second order nonlinear singular differential equations Georgian Math. J. 7 2000 133 154
    • (2000) Georgian Math. J. , vol.7 , pp. 133-154
    • Lomtatidze, A.1    Malaguti, L.2
  • 18
    • 0345187752 scopus 로고    scopus 로고
    • An upper and lower solution approach for nonlinear singular boundary value problems with γ′ dependence
    • R.P. Agarwal, D. O'Regan, and V. Lakshmikantham An upper and lower solution approach for nonlinear singular boundary value problems with γ′ dependence Archives of Inequalities and Applications 1 2003 119 135
    • (2003) Archives of Inequalities and Applications , vol.1 , pp. 119-135
    • Agarwal, R.P.1    O'Regan, D.2    Lakshmikantham, V.3
  • 19
    • 84862475523 scopus 로고    scopus 로고
    • Singular Lidstone boundary value problem with given maximal values for solutions
    • (to appear).
    • R.P. Agarwal, D. O'Regan and S. Staněk, Singular Lidstone boundary value problem with given maximal values for solutions, Nonlinear Anal. (to appear).
    • Nonlinear Anal.
    • Agarwal, R.P.1    O'Regan, D.2    Staněk, S.3
  • 22
    • 84862483043 scopus 로고    scopus 로고
    • Two functional boundary value problems with singularities in phase variables
    • S. Staněk Two functional boundary value problems with singularities in phase variables Nonlinear Oscillations 5 2002 387 415
    • (2002) Nonlinear Oscillations , vol.5 , pp. 387-415
    • Staněk, S.1
  • 23
    • 84862485021 scopus 로고    scopus 로고
    • Sign-changing solutions and ω-solutions to singular Dirichlet boundary value problems
    • S. Staněk Sign-changing solutions and ω-solutions to singular Dirichlet boundary value problems Mathematical Notes, Miskolc 2 2002 133 156
    • (2002) Mathematical Notes, Miskolc , vol.2 , pp. 133-156
    • Staněk, S.1
  • 25
    • 0004051019 scopus 로고
    • Nonlinear boundary value problems for ordinary differential equations
    • A. Granas, R.B. Guenther, and J.W. Lee Nonlinear boundary value problems for ordinary differential equations Dissertationes Mathematicae 244 1985
    • (1985) Dissertationes Mathematicae , vol.244
    • Granas, A.1    Guenther, R.B.2    Lee, J.W.3
  • 26
    • 0000191729 scopus 로고
    • Some existence principles in the Carathéodory theory of nonlinear differential systems
    • A. Granas, R.B. Guenther, and J.W. Lee Some existence principles in the Carathéodory theory of nonlinear differential systems J. Math. Pures et Appl. 70 1991 153 196
    • (1991) J. Math. Pures et Appl. , vol.70 , pp. 153-196
    • Granas, A.1    Guenther, R.B.2    Lee, J.W.3
  • 29
    • 84862477151 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems for delay differential equations
    • (to appear).
    • R.P. Agarwal and S. Staněk, Positive solutions of singular boundary value problems for delay differential equations, Dynamic Syst. & Applic. (to appear).
    • Dynamic Syst. & Applic.
    • Agarwal, R.P.1    Staněk, S.2


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