Investigation of solutions of state-dependent multi-impulsive boundary value problems
2017 ◽
Vol 24
(2)
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pp. 287-312
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Keyword(s):
AbstractWe describe a reduction technique allowing one to combine an analysis of the existence of solutions with an efficient construction of approximate solutions for a state-dependent multi-impulsive boundary value problem which consists of non-linear system of differential equationsu^{\prime}(t)=f(t,u(t))\quad\text{for a.e. }t\in[a,b],subject to the state-dependent impulse conditionu(t+)-u(t-)=\gamma_{t}(u(t-))\quad\text{for }t\in(a,b)\text{ such that }g(t,u(% t-))=0,and the non-linear two-point boundary conditionV(u(a),u(b))=0.
1968 ◽
Vol 13
(2)
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pp. 201-202
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2009 ◽
Vol 10
(3)
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pp. 1912-1922
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1950 ◽
Vol 29
(1-4)
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pp. 300-302
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1995 ◽
Vol 18
(3)
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pp. 169-199
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2019 ◽
Vol 1158
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pp. 032011
2019 ◽
Vol 8
(1)
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pp. 59-72
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