• Bulletin of the Korean Mathematical Society
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• v.38 no.4
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• pp.669-677
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• 2001

Three new fixed point theorems are presented for the set valued maps of Idzik. Moreover a continuation theorem for such maps is also given.

• East Asian mathematical journal
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• v.40 no.1
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• pp.37-50
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• 2024

We establish the existence, multiplicity and uniqueness of positive solutions to nonlocal boundary value systems with strongly coupled integral boundary condition by using the global continuation theorem and Banach's contraction principle.

• Journal of the Korean Mathematical Society
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• v.40 no.5
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• pp.869-881
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• 2003

In this paper, a nonautonomous predator-prey dispersion delay models with functional response is studied. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for above models is established.

• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1257-1264
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• 2009

In this paper, we study the existence of solutions for three-point boundary value problem at resonance by using the continuation theorem of Mawhin. Some known results are improved.

• East Asian mathematical journal
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• v.9 no.1
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• pp.65-73
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• 1993

• East Asian mathematical journal
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• v.16 no.2
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• pp.331-337
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• 2000

• Journal of the Korean Mathematical Society
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• v.45 no.2
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• pp.527-535
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• 2008

Sufficient conditions are given to assert that between any two Banach spaces over $\mathbb{K}$ Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.

• Journal of the Korean Mathematical Society
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• v.59 no.6
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• pp.1171-1184
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• 2022

We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.

• Journal of applied mathematics & informatics
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• v.33 no.5_6
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• pp.723-738
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• 2015

In this paper, the prescribed mean curvature Rayleigh p-Laplacian equation with a deviating argument

• Journal of applied mathematics & informatics
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• v.30 no.3_4
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• pp.429-444
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• 2012

By using Mawhin continuation theorem and comparison theorem, the existence of periodic solution and persistence for a predator-prey system with diffusion and impulses are investigated in this paper. An example and simulation are given to show the effectiveness of the main results.