## Existence and Multiplicity Results for Systems of Singular Boundary Value Problems. (arXiv:1901.11244v1 [math.CA])

Singular boundary value problems (SBVPs) arise in various fields of
Mathematics, Engineering and Physics such as boundary layer theory, gas
dynamics, nuclear physics, nonlinear optics, etc. The present monograph is
devoted to systems of SBVPs for ordinary differential equations (ODEs). It
presents existence theory for a variety of problems having unbounded
nonlinearities in regions where their solutions are searched for. The main
focus is to establish the existence of positive solutions. The results are
based on regularization and sequential procedure.
First chapter of this monograph describe the motivation for the study of
SBVPs. It also include some available results from functional analysis and
fixed point theory. The following chapters contain results from author's PhD
thesis, National University of Sciences and Technology, Islamabad, Pakistan.
These results provide the existence of positive solutions for a variety of
systems of SBVPs having singularity with respect to independent查看全文