A Second Order ODE with a Nonlinear Final Condition

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dc.contributor.authorAmster, Pablo
dc.contributor.authorMariani, Maria Cristina
dc.date.accessioned2020-01-08T15:38:20Z
dc.date.available2020-01-08T15:38:20Z
dc.date.issued2001-12-10
dc.description.abstractWe study a semilinear second-order ordinary differential equation with initial condition u(0) = u0. We prove the existence of solutions satisfying a nonlinear final condition u(T) = h'(u(T)), under a certain growth condition. Also we state conditions ensuring that any solution with Cauchy data u(0) = u0, u'(0) = v0 is defined on the whole interval [0, T].
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAmster, P., & Mariani, M. C. (2001). A second order ODE with a nonlinear final condition. <i>Electronic Journal of Differential Equations, 2001</i>(75), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9154
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNonlinear boundary-value problems
dc.subjectFixed point methods
dc.titleA Second Order ODE with a Nonlinear Final Condition
dc.typeArticle

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