Heteroclinic Orbits in Plane Dynamical Systems
Heteroclinic Orbits in Plane Dynamical Systems
The authors consider boundary value problem \[ \begin{cases} u'' = h (t, u, u'),\\ u (-\infty ) = 0, \quad u (+\infty ) = 1, \end{cases} \] where \(h\) is a continuous function and \(h (t, 0, 0) = h (t, 1, 0)=0\). There are established several conditions guaranteeing the existence and non-existence of the solution of the mentioned problem. The question on multiplicity of the solutions is discussed as well.
Boundary value problems on infinite intervals for ordinary differential equations, heteroclinic solutions, lower and upper solutions, Singular nonlinear boundary value problems for ordinary differential equations, singular boundary value problems, nonlinear boundary value problems, Nonlinear boundary value problems; heteroclinic solutions; lower and upper solutions; singular boundary value problems., Homoclinic and heteroclinic solutions to ordinary differential equations
Boundary value problems on infinite intervals for ordinary differential equations, heteroclinic solutions, lower and upper solutions, Singular nonlinear boundary value problems for ordinary differential equations, singular boundary value problems, nonlinear boundary value problems, Nonlinear boundary value problems; heteroclinic solutions; lower and upper solutions; singular boundary value problems., Homoclinic and heteroclinic solutions to ordinary differential equations
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