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Experimental characterization of the non-linear viscoelastic properties of human female perineal tissue. [PDF]
Moura R +6 more
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Gradient regularity for widely degenerate elliptic partial differential equations. [PDF]
Strunk M.
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On Cauchy’s Equations of Motion
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1964Cauchys Bewegungs- und Momentengleichungen der klassischen Kontinuumsmechanik werden, mit Hilfe von Invarianz-Bedingungen gegenuber starren Zusatzbewegungen, aus dem Energietheorem hergeleitet.
Green, A. E., Rivlin, R. S.
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The Cauchy equation on I -semigroups
Aequationes Mathematicae, 2002A binary operation \(\oplus: [0,M]^2 \to[0,M]\) is called a pseudo-addition if the following properties are satisfied: commutativity, associativity, 0 is the neutral element, monotonicity i.e. \(x\leq x'\), \(y\leq y' \Rightarrow x\oplus y\leq x'\oplus y'\) and continuity i.e. \(x_n\to x\), \(y_n\to y \Rightarrow x_n\oplus y_n\to x\oplus y\). the pair \
BENVENUTI, Pietro +2 more
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2002
We first define singular integral equations of both the first and second kinds (SKI and SK2) with the Cauchy kernel (also called Cauchy singular equations) and then present some useful numerical methods to solve them. These equations are encountered in many applications in aerodynamics, elasticity, and other areas.
Prem K. Kythe, Pratap Puri
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We first define singular integral equations of both the first and second kinds (SKI and SK2) with the Cauchy kernel (also called Cauchy singular equations) and then present some useful numerical methods to solve them. These equations are encountered in many applications in aerodynamics, elasticity, and other areas.
Prem K. Kythe, Pratap Puri
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On The Generalized Cauchy Equation
Canadian Journal of Mathematics, 1967It is the purpose of this note to prove the following theorem: Let ƒ: G → R be a non-constant continuous function with G a locally compact connected topological group and with R the real numbers. Let C = ƒ(G) and suppose that F: C × C → C is a junction such thatThen ƒ is monotone and open and F is continuous.
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