Abstract
In a domain that is the Cartesian product of an interval and a straight line, we investigate a two-point boundary-value problem for partial differential equations. We establish conditions under which this problem is asymptotically well posed in the class of bounded differentiable functions.
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REFERENCES
E. Kengne, A Criterion for the Regularity of a Boundary-Value Problem with an Integral in Boundary Conditions, Dep. VINITI No. 754-B92, Moscow (1992).
V. M. Borok and E. Kengne, "Classification of nonlocal boundary-value problems on a narrow strip," Ukr. Mat. Zh., 46, No. 4, 338–346 (1994).
V. M. Borok and E. Kengne, "Classification of integral boundary-value problems in a broad strip," Izv. Vyssh. Uchebn. Zaved., Ser. Mat., 5, 3–12 (1994).
E. Kengne, "On the narrow stripe of correctness of boundary value problems," Afr. Math., Ser. 3, 7, 35–53 (1997).
E. Kengne, "Perturbation of a two-point problem," Ukr. Mat. Zh., 52, No. 7, 980–984 (2000).
E. Kengne and F. B. Pelap, "Regularity of two-point boundary problems," Afr. Math., Ser. 3, 12, 61–70 (2001).
A. Kh. Mamyan, "General boundary-value problems in a layer," Dokl. Akad. Nauk SSSR, 267, No. 2, 292–296 (1982).
B. P. Paneyakh, "On some nonlocal boundary-value problems for linear differential operators," Mat. Zametki, 35, No. 3, 425–434 (1984).
I. G. Petrovskii, "On the Cauchy problem for a system of linear partial differential equations in the domain of nonanalytic functions," Byull. Mosk. Univ., Sek. A, 1, No. 7, 1–12 (1938).
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Kengne, E. Asymptotically Well-Posed Boundary-Value Problems. Ukrainian Mathematical Journal 56, 208–227 (2004). https://doi.org/10.1023/B:UKMA.0000036097.61500.28
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DOI: https://doi.org/10.1023/B:UKMA.0000036097.61500.28