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By R.P. Agarwal, Patricia J.Y. Wong

This monograph is a suite of the implications the authors have acquired on distinction equations and inequalities. within the previous couple of years this self-discipline has passed through the sort of dramatic improvement that it truly is now not possible to offer an exhaustive survey of all study. although, this cutting-edge quantity deals a consultant evaluation of the authors' contemporary paintings, reflecting a number of the significant advances within the box in addition to the range of the topic. This ebook can be of curiosity to graduate scholars and researchers in mathematical research and its functions, focusing on finite changes, traditional and partial differential equations, actual features and numerical research.

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Org 33 Schedule of Plenary Lectures, Invited Section Lectures, and Sections Short Communications Thursday, August 14 15:00 - 16:00 Chair: Byunghan Kim, Yonsei University, Korea 15:00 - 15:20 On limit theory 310AB SC01-01-01 Geng Ouyang, Minnan Normal University, China 15:20 - 15:40 Primes and irreducibles in computable rings SC01-01-02 Joseph Mileti, Grinnell College, USA 15:40 - 16:00 Consciousness, intuitionism, and their implications for the foundations of mathematics. SC01-01-03 Mansa Singh, The University of Calgary, Canada 16:00 - 17:00 Chair: Joseph Mileti, Grinnell College, USA 16:00 - 16:20 Axiomatizing mathematical theories of numbers 310AB SC01-02-01 Saeed Salehi, University of Tabriz, Iran 16:20 - 16:40 Solving the “triplets” Zeno-Berkeley-Russell’s Paradox: the infinite idea, infinite numbers and their related treating theories and techniques SC01-02-02 Geng Ouyang, Minnan Normal University, China 16:40 - 17:00 Finite VC-dimension in model theory and computational learning theory SC01-02-03 Artem Chernikov, Universite Paris Diderot - Paris 7, France 17:00 - 18:20 Chair: Artem Chernikov, Université Paris Dederot-Paris 7, France 17:00 - 17:20 Computable invariant measures and algorithmically random structures 310AB 17:20 - 17:40 Jonsson sets and some of their model-theoretic properties.

P02-36 Sri Wahyuni, Universitas Gadjah Mada (UGM), Indonesia The structure of the unit loops of finite loop algebras of RA2 loops P02-37 Swati Sidana, Indian Institute of Technology Delhi, India R K Sharma, Indian Institute of Technology Delhi, India Steiner triple systems from algebraic point of view P02-38 Izabella Stuhl, University of Sao Paulo, Brazil Type A quiver loci and Schubert varieties P02-39 Ryan Kinser, Northeastern University, USA Jenna Rajchgot, University of Michigan, USA The quasi-Hopf algebra Quq (sl2 ) P02-40 Gongxiang Liu, Nanjing University, China A note on generalizations of quasi-Frobenius rings P02-41 Thoang Le duc, Phu Yen University, Vietnam 3.

Org 5. Geometry Friday, August 15 15:00 - 16:00 Chair: Keomkyo Seo, Sookmyung Women’s University, Korea 316 15:00 - 15:20 Harmonic nets in metric spaces SC05-04-01 Jürgen Jost, Max-Planck-Institute for Mathematics, Leipzig, Germany Leonard Todjihounde, Institut de Mathematiques et de Sciences Physiques, Benin 15:20 - 15:40 An intermediate value theorem for polytopes Mikhail Matveev, Moscow Institute of Physics and Technology, Russia 15:40 - 16:00 Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds SC05-04-02 SC05-04-03 Marcio Batista, Universidade Federal de Alagoas, Brazil Marcos Cavalcante, Universidade Federal de Alagoas, Brazil Juncheol Pyo, Pusan National University, Korea 16:00 - 17:00 Chair: Juan de dios Perez, Universidad de Granada, Spain 16:00 - 16:20 Every Busemann non-positively curved G-space is a manifold Pavel Andreev, Northern (Arctic) Federal University, Arkhangelsk, Russia 16:20 - 16:40 The Witten deformation for singular spaces and radial Morse functions 316 SC05-05-01 SC05-05-02 Ursula Ludwig, Departement de Mathematiques, France 16:40 - 17:00 Geometric inequalities for submanifolds with bounded mean curvature SC05-05-03 17:00 - 18:00 Chair: Juncheol Pyo, Pusan National University, Korea 17:00 - 17:20 Weak equivalence of Finsler metrics and consequences 316 SC05-06-01 Keomkyo Seo, Sookmyung Women’s University, Korea Mehdi Rafie-Rad, University of Mazanadaran, Iran 17:20 - 17:40 Geometric view of conformal partial differential equations Jose Espinar, Instituo Nacional de Matematica Pura e Aplicada, Brazil 17:40 - 18:00 The eta function and η-invariant of the Atiyah-Patodi-Singer operator on Z2r -manifolds SC05-06-02 SC05-06-03 Ricardo Alberto Podesta, National University of Cordoba (UNC), Argentina Saturday, August 16 15:00 - 16:00 Chair: Paolo Piccione, Universidade de Sao Paulo, Brazil 15:00 - 15:20 The Einstein constraint equations and the Yamabe problem 316 SC05-07-01 Seongtag Kim, Inha University, Korea 15:20 - 15:40 Geometrical properties of projections of self-similar Jordan arcs.

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