On a nonlocal boundary value problem for second order nonlinear equations.
Lomtatidze, A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Lomtatidze, A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Ma, Ruyun (2007)
Applied Mathematics E-Notes [electronic only]
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Maroun, Mariette (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xi, Shouliang, Jia, Mei, Ji, Huipeng (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kiguradze, I., Puz̆a, B. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Henderson, J., Ntouyas, S.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Alves, M. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Gennaro Infante, Paolamaria Pietramala (2010)
Mathematica Bohemica
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Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.
Aris Tersenov (2001)
Annales Polonici Mathematici
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This paper is devoted to the solvability of the Lyapunov equation A*U + UA = I, where A is a given nonselfadjoint differential operator of order 2m with nonlocal boundary conditions, A* is its adjoint, I is the identity operator and U is the selfadjoint operator to be found. We assume that the spectra of A* and -A are disjoint. Under this restriction we prove the existence and uniqueness of the solution of the Lyapunov equation in the class of bounded operators.
Kwong, Man Kam, Wong, James S.W. (2007)
Boundary Value Problems [electronic only]
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