Existence and uniqueness of solutions for singular (k, n - k) conjugate boundary value problems

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Abstract

By mixed monotone method, the existence and uniqueness are established for singular (k, n - k) conjugate boundary value problems. The theorems obtained are very general and complement previous known results.

Keywords

Mixed monotone operator
(k, n - k) conjugate boundary value problem
Singular
Existence
Uniqueness

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The work was supported by the National Natural Science Foundation of China (No. 10571021) and Key Laboratory for Applied Statistics of MOE(KLAS). The work was supported by Science Foundation for Young Teachers of Northeast Normal University (No. 20060108).