  The purpose of this paper is to determine all maximal graded subalgebras of
the four infinite series of finite-dimensional graded Lie superalgebras of odd
Cartan type over an algebraically closed field of characteristic $p>3$. All
maximal graded subalgebras consist of three types (\MyRoman{1}), (\MyRoman{2})
and (\MyRoman{3}). Maximal graded subalgebras of type (\MyRoman{3}) fall into
reducible maximal graded subalgebras and irreducible maximal graded
subalgebras. In this paper we classify maximal graded subalgebras of types
(\MyRoman{1}), (\MyRoman{2}) and reducible maximal g raded subalgebras.The
classification of irreducible maximal graded subalgebras is reduced to that of
the irreducible maximal subalgebras of the classical Lie superalgebra
$\mathfrak{p}(n)$.
