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Found 62 Documents (Results 1–62)

On the ruin problem with investment when the risky asset is a semimartingale. (English. Russian original) Zbl 1459.60100

Theory Probab. Appl. 65, No. 2, 249-269 (2020); translation from Teor. Veroyatn. Primen. 65, No. 2, 312-337 (2020).
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Solvency of an insurance company in a dual risk model with investment: analysis and numerical study of singular boundary value problems. (English. Russian original) Zbl 1443.91251

Comput. Math. Math. Phys. 59, No. 11, 1904-1927 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1973-1997 (2019).
MSC:  91G05 91G60 65N99
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Viscosity solutions of integro-differential equations for nonruin probabilities. (English. Russian original) Zbl 1415.91150

Theory Probab. Appl. 60, No. 4, 671-679 (2016); translation from Teor. Veroyatn. Primen. 60, No. 4, 802-810 (2015).
MSC:  91B30 45K05 60G51 49L25
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Singular initial-value and boundary-value problems for integrodifferential equations in dynamical insurance models with investments. (English. Russian original) Zbl 1349.91128

J. Math. Sci., New York 218, No. 4, 369-394 (2016); translation from Sovrem. Mat., Fundam. Napravl. 53, 5-29 (2014).
MSC:  91B30 34C05 34A12 45J05 60H30
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Dynamical insurance models with investment: constrained singular problems for integrodifferential equations. (English. Russian original) Zbl 1349.91129

Comput. Math. Math. Phys. 56, No. 1, 43-92 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 1, 47-98 (2016).
MSC:  91B30 45J05 34B16 60H30
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On the finite-time nonruin probability of an insurance company with investments in the financial \((B,S)\)-market. (English. Russian original) Zbl 1288.91118

Cybern. Syst. Anal. 48, No. 5, 736-748 (2012); translation from Kibern. Sist. Anal. 2012, No. 5, 112-126 (2012).
MSC:  91B30
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Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: analysis and numerical solution. (Russian, English) Zbl 1274.65334

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 10, 1812-1846 (2012); translation in Comput. Math. Math. Phys. 52, No. 10, 1384-1416 (2012).
MSC:  65R20 45J05 91B30 91G60
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