Existence of Solutions for a Class of Third Order Quasilinear Ordinary Differential Equations with Nonlinear Boundary Value Problems

@inproceedings{Zhao2009ExistenceOS,
  title={Existence of Solutions for a Class of Third Order Quasilinear Ordinary Differential Equations with Nonlinear Boundary Value Problems},
  author={Jianqing Zhao and Zuodong Yang},
  year={2009}
}
In this paper, we are concerned with the third-order quasilinear ordinary differential equation (Φp(u)) = f(t, u, u′, u′′), 0 < t < 1, with the nonlinear boundary conditions u(0) = 0, g(u′(0), u′′(0)) = A, h(u′(1), u′′(1)) = B or u(0) = C, L(u′(0), u′(1)) = 0, R(u′(0), u′(1), u′′(0), u′′(1)) = 0, whereA,B, C ∈ R,Φp(u) = |u|p−2u(p > 1), f : [0, 1]× R → R is continuous, g, h, L : R → R, R : R → R are continuous, which occurs in the study of thep-Laplace equation, generalized reaction-diffusion… CONTINUE READING