EFFECTIVE ESTIMATES FOR BOUNDARY VALUE PROBLEMS
DOI:
https://doi.org/10.5556/j.tkjm.25.1994.4440Keywords:
Boundary value problem, trivial solutionAbstract
We establish some effective estimates for the boundary value problems
\[ x^{(6)}(t)-\sum_{i=1}^5 p_i(t)x^{(i)}(t), x(a) = x'(a) = x''(a) = x'''(a) = x^{(4)}(a) = x(b) = 0; \]
and
\[ x^{(6)}(t)-\sum_{i=1}^5 p_i(t)x^{(i)}(t), x(a) = x'(a) = x''(a) = x(b) = x'(b) =x''(b)= 0. \]
References
G.A. Bogar and G.B. Gustafson, "Effective estimates of invertibility intervals for linear multipoint boundary value problems," J. Differential Equations 29(1978), 180-204.
R.P. Agarwal, G.V. Milovanovic, "On an inequality of Bogar and Gustafson," J. math. anal. appl. 146, 207-216 (1990).
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Published
1994-06-01
How to Cite
YANG, G.-S., & LEU, J.-W. (1994). EFFECTIVE ESTIMATES FOR BOUNDARY VALUE PROBLEMS. Tamkang Journal of Mathematics, 25(2), 167–177. https://doi.org/10.5556/j.tkjm.25.1994.4440
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