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Keywords
(6)
Boundary Value Problem
Critical Point Theory
Impulsive Differential Equation
Positive Solution
Variational Method
sturm liouville
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Variational methods to Sturm–Liouville boundary value problem for impulsive differential equations
Variational methods to Sturm–Liouville boundary value problem for impulsive differential equations,10.1016/j.na.2009.06.051,Nonlinear Analysistheory
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Variational methods to Sturm–Liouville boundary value problem for impulsive differential equations
(
Citations: 11
)
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Yu Tian
,
Weigao Ge
In this paper, we study a linear Sturm–Liouville impulsive problem and a nonlinear Sturm–Liouville impulsive problem. By applying a new approach via
critical point theory
and variational methods, the existence results of positive solutions are obtained.
Journal:
Nonlinear Analysistheory Methods & Applications  NONLINEAR ANALTHEOR METH APP
, vol. 72, no. 1, pp. 277287, 2010
DOI:
10.1016/j.na.2009.06.051
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Citation Context
(2)
...Using variational approach, J. J. Nieto [7], Hao Zhang [5] and Yu Tian[
17
] studied the existence of solutions of second order impulsive differential equations with the Dirichlet problem...
...We omit the proof. Theorem 1.1 (LaxMilgram [7,
17
])...
Haichun Li
,
et al.
Variational approach to secondorder impulsive elliptic equations with...
...In the past few years, the theory of impulsive partial differential equations has been investigated extensively [25, 7, 13, 14,
17
]...
...2 ��������. Theorem 1.1 (LaxMilgram [7,
17
])...
Haichun Li
,
et al.
Variational approach to secondorder impulsive partial differential eq...
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Nonlinear Analysistheory Methods & Applications  NONLINEAR ANALTHEOR METH APP
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Juan J. Nieto
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Published in 2006.
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Citations
(11)
Existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions
(
Citations: 3
)
Dan Zhang
,
Binxiang Dai
Journal:
Mathematical and Computer Modelling  MATH COMPUT MODELLING
, vol. 53, no. 56, pp. 11541161, 2011
Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory
(
Citations: 1
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Liang Bai
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Binxiang Dai
Journal:
Mathematical and Computer Modelling  MATH COMPUT MODELLING
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Increase of Pregnancy Complications by Detection of the ‘Jelly Like’ Placenta
M. Vogt
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Ultrasound in Medicine and Biology  ULTRASOUND MED BIOL
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Variational approach to secondorder impulsive elliptic equations with periodic boundary value problems
Haichun Li
,
Yulong Zhang
Conference:
International Conference on Electric Information and Control Engineering  ICEICE
, 2011
Variational approach to secondorder impulsive partial differential equations with periodic boundary value problems
Haichun Li
,
Yulong Zhang
Published in 2011.