Positive solutions for higher order ordinary differential equations.
1995
Solutions that are positive with respect to a cone are obtained for the boundary value problem, u(n) + a(t)f(u) = 0, u(i)(0) = u(n−2)(1) = 0, 0 ≤ i ≤ n − 2, in the cases that f is either superlinear or sublinear. The methods involve application of a fixed point theorem for operators on a cone.
Keywords:
- Method of characteristics
- Fixed-point theorem
- Mathematical analysis
- Bernoulli differential equation
- Separable partial differential equation
- Examples of differential equations
- Boundary value problem
- Sublinear function
- Mathematics
- Reduction of order
- Pure mathematics
- Oscillation theory
- Linear differential equation
- Collocation method
- Exponential integrator
- Ordinary differential equation
- Correction
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