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- W2014702954 abstract "Abstract For the n -th order nonlinear differential equation, y ( n ) = f ( x , y , y ′, … , y ( n –1) ), we consider uniqueness implies uniqueness and existence results for solutions satisfying certain ( k + j )-point boundary conditions for 1 ≤ j ≤ n – 1 and 1 ≤ k ≤ n – j . We define ( k ; j )-point unique solvability in analogy to k -point disconjugacy and we show that ( n – j 0 ; j 0 )-point unique solvability implies ( k ; j )-point unique solvability for 1 ≤ j ≤ j 0 , and 1 ≤ k ≤ n – j . This result is analogous to n -point disconjugacy implies k -point disconjugacy for 2 ≤ k ≤ n – 1." @default.
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- W2014702954 date "2012-06-01" @default.
- W2014702954 modified "2023-10-07" @default.
- W2014702954 title "Uniqueness Implies Existence and Uniqueness Conditions for a Class of (<i>k</i> + <i>j</i>)-Point Boundary Value Problems for <i>n</i>-th Order Differential Equations" @default.
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- W2014702954 doi "https://doi.org/10.4153/cmb-2011-117-0" @default.
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