Serrurier Marseille E-books > International > Download PDF by Ondřej Došlý, Simona Fišnarová (auth.), Sandra Pinelas,: Differential and Difference Equations with Applications:

Download PDF by Ondřej Došlý, Simona Fišnarová (auth.), Sandra Pinelas,: Differential and Difference Equations with Applications:

By Ondřej Došlý, Simona Fišnarová (auth.), Sandra Pinelas, Michel Chipot, Zuzana Dosla (eds.)

ISBN-10: 1461473322

ISBN-13: 9781461473329

ISBN-10: 1461473330

ISBN-13: 9781461473336

The quantity comprises rigorously chosen papers awarded on the overseas convention on Differential & distinction Equations and functions held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. the target of the collection was once to compile researchers within the fields of differential & distinction equations and to advertise the alternate of principles and study. The papers hide all components of differential and distinction equations with a unique emphasis on applications.

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Additional resources for Differential and Difference Equations with Applications: Contributions from the International Conference on Differential & Difference Equations and Applications

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Grundlehren Series, vol. 284. Springer, New York (1986) 7. : The contact angle in capillarity. Phys. Fluids 18, 047102 (2006) 8. : Equilibrium configurations of an infinite cylinder in an unbounded fluid. Phys. Fluids 18, 047103 (2006) 9. : Young’s law and the effects of interfacial energy on the pressure at the solid–fluid interface. Phys. Fluids 19, 118105 (2007) 10. : Comments related to my paper “The contact angle in capillarity”. Phys. Fluids 20, 107104 (2008) 11. , On Young’s (1805) Equation and Finn’s (2006) ‘counterexample’.

Ind. Math. 17(1), 3–24 (2010) [in Russian] 5. : Theory of Ordinary Differential Equations. McGraw-Hill, New York (1955) 6. : Asymptotic Analysis: Linear Ordinary Differential Equations. Springer, Berlin (1993) 7. : In the insurance business risky investments are dangerous. Finance Stochast. 6(2), 227–235 (2002) 8. : Aspects of Risk Theory. Springer, Berlin (1991) 9. : Singular Cauchy problems for systems of ordinary differential equations. R. Comput. Maths. Math. Phys. 23(3), 72–82 (1983) 10. : Asymptotic Expansions for Ordinary Differential Equations.

N − 1} with + n even, we have ∈ {1, . , n − 1}. 1, it can be shown that Eqs. (5) [(4)] holds if = n (if n is even and = 0). Let = n. Show that (5) be fulfilled. Indeed, by 56 R. 1n ), there exists c ∈ (0, 1) and t1 > t0 such that u(t) ≥ ct n−1 for t ≥ t1 . 2n−1 ), from Eq. (1) we have u(n−1)(t) ≥ cλ t t1 (σ (s))(n−1)μ (s) |p(s)|ds → +∞ for t → +∞. Therefore, (5) holds. Let n is even and = 0. Show that the condition (4) holds. If that is not the case, then there exists c ∈ (0, 1) such that u(t) ≥ c for sufficiently large t.

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Differential and Difference Equations with Applications: Contributions from the International Conference on Differential & Difference Equations and Applications by Ondřej Došlý, Simona Fišnarová (auth.), Sandra Pinelas, Michel Chipot, Zuzana Dosla (eds.)


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