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The author applies a generalized Leggett-Williams fixed point theorem to the study of the nonlinear functional differential equation
.
Sufficient conditions are established for the existence of multiple positive periodic solutions.
Changxiu Song. "Positive periodic solutions of functional differential equations with infinite delay." Annales Polonici Mathematici 93.1 (2008): 75-83. <http://eudml.org/doc/280492>.
@article{ChangxiuSong2008, abstract = {The author applies a generalized Leggett-Williams fixed point theorem to the study of the nonlinear functional differential equation
$x^\{\prime \}(t)=-a(t,x(t))x(t)+f(t,x_t)$.
Sufficient conditions are established for the existence of multiple positive periodic solutions.}, author = {Changxiu Song}, journal = {Annales Polonici Mathematici}, keywords = {functional differential equation; positive periodic solutions; cone; fixed point theorem}, language = {eng}, number = {1}, pages = {75-83}, title = {Positive periodic solutions of functional differential equations with infinite delay}, url = {http://eudml.org/doc/280492}, volume = {93}, year = {2008}, }
TY - JOUR AU - Changxiu Song TI - Positive periodic solutions of functional differential equations with infinite delay JO - Annales Polonici Mathematici PY - 2008 VL - 93 IS - 1 SP - 75 EP - 83 AB - The author applies a generalized Leggett-Williams fixed point theorem to the study of the nonlinear functional differential equation
$x^{\prime }(t)=-a(t,x(t))x(t)+f(t,x_t)$.
Sufficient conditions are established for the existence of multiple positive periodic solutions. LA - eng KW - functional differential equation; positive periodic solutions; cone; fixed point theorem UR - http://eudml.org/doc/280492 ER -