Singularly perturbed boundary value problems for semi-linear retarded differential equations with nonlinear boundary conditions
Tóm tắt
A boundary value problems for functional differenatial equations, with nonlinear boundary condition, is studied by the theorem of differential inequality. Using new method to construct the upper solution and lower solution, sufficient conditions for the existence of the problems' solution are established. A uniformly valid asymptotic expansions of the solution is also given.
Tài liệu tham khảo
citation_journal_title=SIAM J Appl Math; citation_title=Singular perturbation analysis of boundary value problem for differential difference equations[J]; citation_author=C G Lange, R M Miura; citation_volume=42; citation_issue=3; citation_publication_date=1982; citation_pages=502-503; citation_doi=10.1137/0142036; citation_id=CR1
citation_journal_title=Northeastern Math J; citation_title=The asymptotic expansions of singularly perturbed boundary value problems for semi-linear differential difference equations[J]; citation_author=Miao Shu-mei, Zhou Qin-de; citation_volume=5; citation_issue=3; citation_publication_date=1989; citation_pages=283-293; citation_id=CR2
citation_journal_title=Acta Math Sinica; citation_title=The boundary value problem for differential difference equations [J]; citation_author=Zhou Qin-de, Miao Shu-mei; citation_volume=32; citation_issue=1; citation_publication_date=1989; citation_pages=55-70; citation_id=CR3
citation_journal_title=Ann Differential Equations; citation_title=A kind of singularly perturbed boundary value problems for nonlinear Volterra functional differential equations[J]; citation_author=Lu Shi-ping; citation_volume=14; citation_issue=2; citation_publication_date=1998; citation_pages=247-253; citation_id=CR4
citation_journal_title=Appl Math Chinese Univ, Ser B; citation_title=A kind of singularly perturbed boundary value problems for nonlinear Volterra functional differential equations[J]; citation_author=Lu Shi-ping; citation_volume=15; citation_issue=2; citation_publication_date=2000; citation_pages=137-142; citation_id=CR5
citation_journal_title=Differential Equations; citation_title=Differential inequalities and existence theorems for second order boundary value problems[J]; citation_author=G A Klasen; citation_volume=10; citation_issue=4; citation_publication_date=1971; citation_pages=529-531; citation_id=CR6
citation_title=
[M]; citation_publication_date=1977; citation_id=CR7; citation_author=J Hale; citation_publisher=Springer-Verlag