Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems
We consider the following boundary value problem where λ > 0 and 1 ≤ p ≤ n -1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.
M. Bohner et al., "Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems," Proceedings of the Edinburgh Mathematical Society, Cambridge University Press, Jan 1999.
The definitive version is available at https://doi.org/10.1017/S0013091500020307
Mathematics and Statistics
Keywords and Phrases
boundary value problems; examples; positive solutions; special cases; values
Article - Journal
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