Geodesic
Method of Forced Monotonicity for Conjugate type Boundary Value Problems for Ordinary Differential Equations
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 79-84

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DOI

Let I = [a, b] ⊆ R and let L be an nth order linear differential operator defined on Cn(I). Let 2 ≦ k ≦ n and let a ≦ x1 < x2 < ... < xn = b. A method of forced mono tonicity is used to construct monotone sequences that converge to solutions of the conjugate type boundary value problem (BVP) Ly = f(x, y),y(i-1) = rij where 1 ≦i ≦ mj, 1 ≦ j ≦ k, mj = n, and f : I X R → R is continuous. A comparison theorem is employed and the method requires that the Green's function of an associated BVP satisfies certain sign conditions.
DOI : 10.4153/CMB-1988-012-0
Mots-clés : 34B10, 34B27 
Eloe, P. W.; Saintignon, P. L. Method of Forced Monotonicity for Conjugate type Boundary Value Problems for Ordinary Differential Equations. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 79-84. doi: 10.4153/CMB-1988-012-0
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     author = {Eloe, P. W. and Saintignon, P. L.},
     title = {Method of {Forced} {Monotonicity} for {Conjugate} type {Boundary} {Value} {Problems} for {Ordinary} {Differential} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {79--84},
     year = {1988},
     volume = {31},
     number = {1},
     doi = {10.4153/CMB-1988-012-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-012-0/}
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