Types and Multiplicity of Solutions to Sturm–Liouville Boundary Value Problem

Maria DobkevichInstitute of Mathematics and Computer Science, University of Latvia Raiņa bulvāris 29, LV-1459Rīga, Latvia. E-mail: [email protected]Correspondence[email protected]

Felix SadyrbaevInstitute of Mathematics and Computer Science, University of Latvia Raiņa bulvāris 29, LV-1459Rīga, Latvia. E-mail: [email protected]

Abstract

We consider the second-order nonlinear boundary value problems (BVPs) with Sturm–Liouville boundary conditions. We define types of solutions and show that if there exist solutions of different types then there exist intermediate solutions also.

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AMS Subject Classification:

34B15

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Types and Multiplicity of Solutions to Sturm–Liouville Boundary Value Problem

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