Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations | Zendy

Indranil SenGupta | Zendy; Maria C. Mariani | Zendy

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Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations

Author(s) -

Indranil SenGupta,

Maria C. Mariani

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/794040

Subject(s) - font , mathematics , combinatorics , matrix (chemical analysis) , order (exchange) , style (visual arts) , computer science , artificial intelligence , art , materials science , literature , composite material , finance , economics

We study the general semilinear second-order ODE +(,,)=0 under different two-point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, undera growth condition on , we prove that the set of solutions of +(,,)=0 is homeomorphic to the two-dimensional real space

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