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dc.contributor.authorHuang, Qiuling ( )
dc.contributor.authorHou, Xiaojie ( )
dc.date.accessioned2021-11-05T17:02:07Z
dc.date.available2021-11-05T17:02:07Z
dc.date.issued2019-04-18
dc.identifier.citationHuang, Q., & Hou, X. (2019). Monotone iteration scheme and its application to partial differential equation systems with mixed nonlocal and degenerate diffusions. Electronic Journal of Differential Equations, 2019(51), pp. 1-21.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14784
dc.description.abstractA monotone iteration scheme for traveling waves based on ordered upper and lower solutions is derived for a class of nonlocal dispersal system with delay. Such system can be used to study the competition among nonlocally diffusive species and degenerately diffusive species. An example of such system is studied in detail. We show the existence of the traveling wave solutions for this system by this iteration scheme. In addition, we study the minimal wave speed, uniqueness, strict monotonicity and asymptotic behavior of the traveling wave solutions.en_US
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlocal diffusionen_US
dc.subjectTraveling wave solutionen_US
dc.subjectAsymptoticsen_US
dc.subjectSchauder fixed point theoremen_US
dc.subjectUpper and lower solutionsen_US
dc.subjectUniquenessen_US
dc.titleMonotone iteration scheme and its application to partial differential equation systems with mixed nonlocal and degenerate diffusionsen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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