The Cauchy problem for a singularly perturbed integro-differential Fredholm equation

Computational Mathematics and Mathematical Physics

Volumn 47, Issue 4, 2007, Pages 629-637

  Nefedov, N N ^a   Nikitin, A G ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Asymptotic technique; Cauchy problem; Method of upper and lower solutions; Singularly perturbed integro differential Fredholm equation

Indexed keywords

EID: 34248191715     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: 10.1134/S0965542507040082     Document Type: Article

References (10)

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2. A. B. Vasil'eva and V. F. Butuzov, Asymptotic Methods in the Theory of Singular Perturbations (Vysshaya Shkola, Moscow, 1990) [in Russian],
3. N. N. Nefedov, "Method of Differential Inequalities for Certain Singularly Perturbed Problems with Internal Layers," Differ. Uravn. 31, 1132-1139 (1995).
4. N. N. Nefedov and A. G. Nikitin, "The Asymptotic Method of Differential Inequalities for Singularly Perturbed Integro-Differential Equations," Differ. Uravn. 36, 1398-1404 (2000)
5. [Differ. Equations 36, 1544-1550 (2000)].
6. N. N. Nefedov and A. G. Nikitin, "Method of Differential Inequalities for Step-Like Contrast Structures in Singularly Perturbed Integra-Differential Equations in the Spatially Two-Dimensional Case," Differ. Uravn. 42, 690-700 (2006)
7. [Differ. Equations 42, 739-759 (2006)].
8. N. N. Nefedov, A. G. Nikitin, and T. A. Urazgil'dina, "The Cauchy Problem for a Singularly Perturbed Volterra Integra-Differential Equation," Zh. Vychisl. Mat. Mat. Fiz. 46, 805-812 (2006)
9. [Comput. Math. Math. Phys. 46, 768-775 (2006)].
10. P. P. Zabreiko, A. I. Koshelev, M. A. Krasnosel'skii, et al., Integral Equations (Nauka, Moscow, 1968) [in Russian].