Titlebook: Mathematics Without Boundaries; Surveys in Pure Math Themistocles M. Rassias,Panos M. Pardalos Book 2014 Springer Science+Business Media, L

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Aveiro Discretization Method in Mathematics: A New Discretization Principle,stration of the generality of the method is here performed by considering several distinct classes of problems to which the method is applied. In fact, one of the advantages of the present method—in comparison to other well-known and well-established methods—is its global nature and no need of speci

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Variational Inequality Models Arising in the Study of Viscoelastic Materials,cret Contin Dyn Syst 31:1039–1051, 2011; Adly et al. Numer Algebra Control Optim 2:89–101, 2012; Adly and chau, to appear in Mathematical Programming; Chau et al., Int J Appl Math Mech, 2012). It concerns the study of contact problems for viscoelastic materials with possible thermal effects. We firs

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Spectral Properties of Toeplitz Operators Acting on Gabor Type Reproducing Kernel Hilbert Spaces,liers. We introduce Gabor–Toeplitz operators and Gabor multipliers as Toeplitz operators defined in the context of general reproducing kernel Hilbert spaces. In the first case the reproducing kernel Hilbert space is derived from the continuous Gabor reproducing formula, and in the second case, out o

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Which Numbers Simplify Your Problem?,which, at a first sight, may seem not correlated with infinitesimal and infinite numbers. We present four simple cases, each one at the level of possibility for the creativity of a motivated student. The ring of Fermat reals and its applications to physics and differential geometry, the ring of Colo

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Fractional Cauchy Problem in Sense of the Complex Hadamard Operators,tions of the Hadamard fractional operators into the open unit disk. A class of nonlinear fractional differential equations (Cauchy-type problem) in the unit disk is studied using these fractional operators. The existence and uniqueness of the solution are established. Some properties of the integral

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