EXISTENCE AND STABILITY OF TRAVELING WAVES IN PARABOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS WITH WEAK DIFFUSION
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Klevchuk, Ivan
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Precarpathian National University (Ivano-Frankivsk, Ukraine)
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Abstract
We prove the existence of periodic solutions in autonomous parabolic system of differential equations with weak diffusion on the circle. We study the existence and stability of an arbitrarily large finite number of cycles for a parabolic system with weak diffusion.
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Klevchuk I.I. Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion // The international online conference “Current trends in abstract and applied analysis”. List of abstracts. – Ivano-Frankivsk, 2022. – P. 39.