Results 21 to 30 of about 60 (57)
Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
wiley +1 more source
On polynomials of Sheffer type arising from a Cauchy problem
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2119-2137, 2003., 2003 A new sequence of eigenfunctions is developed and studied in depth. These theta polynomials are derived from a recent analytic solution of the canonical Cauchy problem for parabolic equations, namely, the inverse heat conduction problem. By appealing to the methods of the operator calculus, it is possible to categorize the new functions as polynomials ...
D. G. Meredith
wiley +1 more source
Sturmian theorems for systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 177-184, 1980., 1979 Two Sturmian theorems are established for second order linear nonhomogeneous systems of two differential equations with the use of a maximum principle. The results also hold for homogeneous systems. For illustration, an example is given.
C. Y. Chan
wiley +1 more source
Comparison theorems for ultrahyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 31-40, 1978., 1978 Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non‐standard boundary conditions.
C. C. Travis, E. C. Young
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Generalized Picone's identity and its applications
Electronic Journal of Differential Equations, 2013 In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj
Picone-type identity for pseudo p-Laplacian with variable power
Electronic Journal of Differential Equations, 2012 A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial ...
Gabriella Bognar, Ondrej Dosly
doaj
Picone-type inequalities for nonlinear elliptic equations and their applications
Journal of Inequalities and Applications, 2001 Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano +2 more
doaj
The quantum-mechanical Coulomb propagator in an L2 function representation. [PDF]
Sci Rep, 2021 Gersbacher R, Broad JT.
europepmc +1 more source
Anisotropic Picone identities and anisotropic Hardy inequalities. [PDF]
J Inequal Appl, 2017 Feng T, Cui X.
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Conjugate points on a limiting extremal. [PDF]
Proc Natl Acad Sci U S A, 1976 Morse M.
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