**Examples for the use of
BVPh 1.0**

**Chapter
8: Nonlinear BVPs with multiple solutions**

8.3.1 Nonlinear
diffusion-reaction model

8.3.2 A nonlinear
three-point boundary-value problem

8.3.3 Channel flows with
multiple solutions

**Chapter
9: Nonlinear eigen-value problems**

9.3.1 Non-uniform beam acted
by axial load

9.3.2 Gelfand equation

9.3.3 Eigen-value equation
with singularity and varying coefficients

9.3.4 Multipoint
boundary-value problem with multiple solutions

9.3.5 Orr-Sommerfeld
stability equation with complex coefficient

**Chapter
10: Exponentially and algebraically
decaying boundary-layer flows **

10.2 The unique exponentially decaying solution

10.3 An infinite number of algebraically decaying
solutions

**Chapter
11: Non-similarity boundary-layer flow**

**Chapter
12: Unsteady similarity boundary-layer flow**

**Related
Book:**

Liao, S.J.: **Homotopy
Analysis Method in Nonlinear Differential Equations**.
Higher Education Press & Springer, Beijing and Heidelberg, 2012.