Get Differential and Difference Equations with Applications: PDF

By Sandra Pinelas, Zuzana Došlá, Ondřej Došlý, Peter E. Kloeden

Aimed on the group of mathematicians engaged on traditional and partial differential equations, distinction equations, and useful equations, this e-book comprises chosen papers in line with the displays on the overseas convention on Differential & distinction Equations and functions (ICDDEA) 2015, devoted to the reminiscence of Professor Georg promote. Contributions comprise new traits within the box of differential and distinction equations, functions of differential and distinction equations, in addition to high-level survey effects. the most target of this habitual convention sequence is to advertise, inspire, cooperate, and produce jointly researchers within the fields of differential & distinction equations. All parts of differential and distinction equations are represented, with specified emphasis on applications.

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Sandra Pinelas, Zuzana Došlá, Ondřej Došlý, Peter E. Kloeden's Differential and Difference Equations with Applications: PDF

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Extra resources for Differential and Difference Equations with Applications: ICDDEA, Amadora, Portugal, May 2015, Selected Contributions

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N. 2 ([21]). For each Z Z 1 0 'ˇ . /d D 1 ˇ 0 ˇ. 2 ([5]). t/; t 0 is a semigroup of uniformly bounded linear operators generated by operator M. ˇ/ kzk for each z 2 X. , for 0 Ä 1 < 2 Ä T0 and z 2 X, we have kUˇ . 2 /z Uˇ . 1 /zk ! 0 and kVˇ . 2 /z Vˇ . 1 /zk ! 0 as 2 ! 1 . t/; t 0, is compact. 2 ˛/ ˛ˇ for t 2 Œ0; T0 . 0; T0 . ˇ/ kzk˛ . 3. s/ D 0 for s … Œ0; T0 . 3 Main Result In this segment, the sufficient condition for providing the existence of the ˛-mild solution for system (1)–(2) is derived.

Existence and uniqueness for a nonlinear inverse reactiondiffusion problem with a nonlinear source in higher dimensions. Math. Methods Appl. Sci. 36, 2397–2402 (2013) 2. : On a problem of determining the parameter of a parabolic equation. Ukr. Math. J. 62, 1200–1210 (2010) 3. : High order approximation of the inverse elliptic problem with DirichletNeumann conditions. Filomat 28, 947–962 (2014) 4. : On source identification problem for a delay parabolic equation. Nonlinear Anal. Modell. Control 19, 335–349 (2014) 50 A.

N. Pandey tool to describe the memory and hereditary properties of various materials and phenomena. The details on the theory and its applications may be found in books [11, 14, 16, 18] and references cited therein. In addition, there is considerably interest on the part of mathematics in the examination of differential equation with a deviated argument, both in connection with problems in the hypothesis of control system and because of the intrinsic richness and beauty of such equations. Differential equations with deviated argument have extraordinary applications in the hypothesis of self-oscillating systems, problems connected with combustion in rocket motion, the hypothesis of automatic control, a series of biological problems, and the problem of long-range planning in economics and in numerous other fields of sciences and technology, the quantity of which is consistently extending.

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