Results 41 to 50 of about 2,640,083 (343)
International Journal of Mathematics and Mathematical Sciences, 2001 We prove a combinatorial identity which arose from considering the relation rp(x,y,z)=(x+y−z)p−(xp+yp−zp) in connection with Fermat's last theorem.
Joseph Sinyor +2 more
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Scalar characterization in Banach Jordan algebras
Universal Journal of Mathematics and Applications, 2018 Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras.
Abdelaziz Maouche
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KUMMER’S THEOREM AND ITS CONTIGUOUS IDENTITIES
Taiwanese Journal of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choi, Junesang +2 more
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Noether theorem for vakonomic dynamics on time scales [PDF]
AIP AdvancesThis research is dedicated to studying the Noether symmetry and conservation laws of vakonomic dynamics on an arbitrary time scale. First, the variational principle of vakonomic dynamics on time scales is established, from which the equations of motion ...
Zilong Yang, Yi Zhang
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IEEE Transactions on Dependable and Secure Computing, 2019 Existing security and identity-based vehicular communication protocols used in Vehicular Ad-hoc Networks (VANETs) to achieve conditional privacy-preserving mostly rely on an ideal hardware device called tamper-proof device (TPD) equipped in vehicles ...
Jing Zhang +4 more
semanticscholar +1 more source
Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales
Advances in Difference Equations, 2009 This paper studies Sturm-Picone comparison theorem of second-order linear equations on time scales. We first establish Picone identity on time scales and obtain our main result by using it.
Shurong Sun, Chao Zhang
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A Note on Four-Variable Reciprocity Theorem
International Journal of Mathematics and Mathematical Sciences, 2009 We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's 1𝜓1-summation formula. We also obtain a generalization of Jacobi's triple product identity.
Chandrashekar Adiga, P. S. Guruprasad
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Differential identities, Lie ideals, and Posner’s theorems [PDF]
Pacific Journal of Mathematics, 1988 This paper uses the theory of differential identities to obtain generalizations of two well-known results of \textit{E. C. Posner} [Proc. Am. Math. Soc. 8, 1093--1100 (1958; Zbl 0082.03003)]. A number of such generalizations appear in the literature and the purpose here is to give a uniform treatment which yields essentially all of these, and gives new
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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Commutativity Theorems in Groups with Power-like Maps
Journal of Formalized Reasoning, 2019 There are several commutativity theorems in groups and rings which involve power maps f(x) = xn. The most famous example of this kind is Jacobson's theorem which asserts that any ring satisfying the identity xn = x is commutative.
Ranganathan Padmanabhan, Yang Zhang
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