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Positive periodic solutions of singular systems of first order ordinary differential equations
Periodic solutions singular system Krasnoselskii fixed point
2010/12/10
The existence and multiplicity of positive periodic solutions for first non-autonomous singular systems are established with superlinearity or sublinearity assumptions atinfinity for an appropriately ...
Multiple Positive Solutions for Nonlinear Third-Order Boundary Value Problems in Banach Spaces
Positive solutions boundary value problem Banach spaces fixed point index
2010/2/25
This paper deals with the positive solutions of nonlinear boundary value problems in Banach spaces. By using fixed point index theory, some sufficient conditions for the existence of at least one or t...
On Generalized Solution of a Class of Higher Order Operator-Differential Equations
Operator-differential equations Hilbert spaces existence of generalized solution
2010/2/25
In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is m...
Solving second order equations by extending the PS method
second order equations extending the PS method
2010/11/1
An extension of the ideas of the Prelle-Singer procedure to second order differential equations is proposed. As in the original PS procedure, this version of our method deals with differential equati...