On the correct formulation of a nonlinear differential equation in Banach spaces.
El-Borai, Mahmoud M., Moustafa, Osama L., Michael, Fayez H. (2001)
International Journal of Mathematics and Mathematical Sciences
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El-Borai, Mahmoud M., Moustafa, Osama L., Michael, Fayez H. (2001)
International Journal of Mathematics and Mathematical Sciences
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Andrzej Nowakowski, Aleksandra Orpel (2006)
Czechoslovak Mathematical Journal
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The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.
Ioan Ionescu, Quoc-Lan Nguyen (2002)
International Journal of Applied Mathematics and Computer Science
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The dynamic evolution with frictional contact of a viscoelastic body is considered. The assumptions on the functions used in modelling the contact are broad enough to include both the normal compliance and the Tresca models. The friction law uses a friction coefficient which is a non-monotone function of the slip. The existence and uniqueness of the solution are proved in the general three-dimensional case.
Ján Lovíšek (2003)
Applications of Mathematics
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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...
Motreanu, Dumitru, Sofonea, Mircea (1999)
Abstract and Applied Analysis
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Wan, Qian, Xiao, Ti-Jun (2011)
Advances in Difference Equations [electronic only]
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