%0 Journal Article %T Existence of Solutions of Multi-Point BVPs for Impulsive Functional Differential Equations with Nonlinear Boundary Conditions %A Liu, Yuji %J Journal of Nonlinear Sciences and Applications %D 2012 %V 5 %N 2 %@ ISSN 2008-1901 %F Liu2012 %X Two classes of multi-point BVPs for first order impulsive functional differential equations with nonlinear boundary conditions are studied. Sufficient conditions for the existence of at least one solution to these BVPs are established, respectively. Our results generalize and improve the known ones. Some examples are presented to illustrate the main results. %9 journal article %R 10.22436/jnsa.005.02.07 %U http://dx.doi.org/10.22436/jnsa.005.02.07 %P 133--150 %0 Journal Article %T The monotone method for first order problems with linear and nonlinear boundary conditions %A A. Cabada %J Appl. Math. Comput. %D 1994 %V 63 %F Cabada1994 %0 Journal Article %T First order impulsive ordinary differential equations with anti-periodic and nonlinear boundary value conditions %A D. Franco %A J. J. Nieto %J Nonl. Anal. %D 2000 %V 42 %F Franco2000 %0 Journal Article %T A new maximum principle for impulsive first order problems %A D. Franco %A J. J. Nieto %J Internat. J. Theoret. Phys. %D 1998 %V 37 %F Franco1998 %0 Journal Article %T On a boundary value problem for first order scalar functional differential equations %A R. Hakl %A A. Lomtatidze %A B. Puza %J Nonl. Anal. %D 2003 %V 53 %F Hakl2003 %0 Journal Article %T Periodic boundary value problems for first order impulsive ordinary differential equations %A Z. He %A J. Yu %J J. Math. Anal. Appl. %D 2002 %V 272 %F He2002 %0 Journal Article %T On monotone method for first order and second order periodic boundary value problems and periodic solutions of functional differential equations %A D. Jiang %A J. J. Nieto %A W. Zuo %J J. Math. Anal. Appl. %D 2004 %V 289 %F Jiang2004 %0 Book %T Monotone iterative techniques for nonlinear differential equations %A G. S. Ladde %A V. Lakshmikantham %A A. S. Vatsala %D 1985 %I Pitman Advanced Publishing Program %C %F Ladde1985 %0 Journal Article %T Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects %A X. Li %A X. Lin %A D. Jiang %A X. Zhang %J Nonl. Anal. %D 2005 %V 62 %F Li2005 %0 Journal Article %T Nonlinear boundary value problems for first order impulsive integra-differential equations %A X. Liu %J Appl. Anal. %D 1990 %V 36 %F Liu 1990 %0 Journal Article %T Periodic boundary value problems for nonlinear first order ordinary differential equations %A J. J. Nieto %A N. Alvarez-Noriega %J Acta Math. Hungar %D 1996 %V 71 %F Nieto1996 %0 Journal Article %T Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations %A J. J. Nieto %A R. Rodriguez-Lopez %J J. Math. Anal. Appl. %D 2006 %V 318 %F Nieto2006 %0 Journal Article %T Impulsive differential equations of first order with periodic boundary conditions %A C. Pierson-Gorez %J Diff. Equs. Dyn. Systems %D 1993 %V 11 %F Pierson-Gorez1993 %0 Journal Article %T The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems %A A. Cabada %J J. Math. Anal. Appl. %D 1994 %V 185 %F Cabada1994 %0 Journal Article %T A generalization of the monotone method for second order periodic boundary value problems with impulses at fixed points %A A. Cabada %A J. J. Nieto %A D. Franco %A S. I. Trofimchuk %J Dynamics Contin. Discrete Impuls. System %D 2000 %V 7 %F Cabada2000 %0 Journal Article %T Periodic boundary value problems of impulsive differential equations %A A. S. Vatsala %A Y. Sun %J Appl. Anal. %D 1992 %V 44 %F Vatsala1992 %0 Journal Article %T Nonresonance conditions and extremal solutions for first order impulsive problems under weak assumptions %A D. Franco %A R. L. Pouso %J ANZIAM J. %D 2003 %V 44 %F Franco2003 %0 Journal Article %T Existence of solutions of boundary value problems for differential equations with delayed arguments %A T. Jankowski %J J. Comput. Appl. Math. %D 2003 %V 156 %F Jankowski2003 %0 Journal Article %T Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions %A D. Franco %A J. J. Nieto %A D. O'Regan %J Appl. Math. Letters %D 2004 %V 153 %F Franco2004 %0 Journal Article %T Existence of solutions of differential equations with nonlinear multi-point boundary conditions %A T. Jankowski %J Comput. Math. Appl. %D 2004 %V 47 %F Jankowski2004 %0 Journal Article %T Impulsive resonance periodic problems of first order %A J. J. Nieto %J Appl. Math. Letters %D 2002 %V 15 %F Nieto2002 %0 Journal Article %T Periodic boundary value problems for first order impulsive ordinary differential equations %A J. J. Nieto %J Nonl. Anal. %D 2002 %V 51 %F Nieto 2002 %0 Journal Article %T Maximum principles for periodic impulsive first order problems %A D. Franco %A J. J. Nieto %J J. Comput. Appl. Math. %D 1998 %V 88 %F Franco1998 %0 Journal Article %T Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations %A Y. Liu %J J. Math. Anal. Appl. %D 2007 %V 327 %F Liu2007 %0 Journal Article %T Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients %A Y. Liu %A W. Ge %J Nonl. Anal. %D 2004 %V 57 %F Liu2004 %0 Journal Article %T Nonlinear boundary value problem of first order impulsive functional differential equations %A L. Kong %A J. Sun %J J. Math. Anal. Appl. %D 2006 %V 318 %F Kong2006 %0 Journal Article %T Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions %A E. Liz %J Nonl. Anal. %D 1995 %V 25 %F Liz1995 %0 Journal Article %T Nonlinear boundary value problems for first order impulsive functional differential equations %A X. Yang %A J. Shen %J Appl. Math. Comput. %D 2007 %V 189 %F Yang2007 %0 Book %T Fixed point theorems %A D. R. Smart %D 1980 %I Cambridge University Press %C Cambridge %F Smart1980 %0 Journal Article %T Global attractivity in a ''food-limited'' population model with impulsive effects %A S. Tang %A L. Chen %J J. Math. Anal. Appl. %D 2004 %V 292 %F Tang2004 %0 Journal Article %T Basic theory for nonresonance impulsive periodic problems of first order %A J. J. Nieto %J J. Math. Anal. Appl. %D 1997 %V 205 %F Nieto1997 %0 Journal Article %T Periodic boundary value problem for first-order impulsive functional differential equations %A Z. Luo %A Z. Jing %J Comput. Math. Appl. %D 2008 %V 55 %F Luo2008 %0 Book %T Coincidence Degree and Nonlinear Differential Equations %A R. E. Gaines %A J. L. Mawhin %D 1977 %I Lecture Notes in Math., 568, Springer %C Berlin %F Gaines1977 %0 Journal Article %T Ordinary differential equations with nonlinear boundary conditions of anti-periodic type %A T. Jankowski %J Comput. Math. Appl. %D 2004 %V 47 %F Jankowski2004 %0 Journal Article %T Differential inequalities for functional perturbations of first order ordinary differential equations %A J. J. Nieto %J Appl. Math. Letters %D 2002 %V 15 %F Nieto2002