A Special Hill's Equation With Discontinuous Coefficients

Harry Hochstadt

Type: Article

Publication Date: 1963-01-01

Citations: 30

DOI: https://doi.org/10.1080/00029890.1963.11990036

View Publication

Locations

American Mathematical Monthly - View
Hathi Trust Digital Library (The HathiTrust Research Center) - View

Similar Works

Action	Title	Year	Authors
+	A Special Hill's Equation with Discontinuous Coefficients	1963	Harry Hochstadt
+	On Hill's Equation with Piecewise Constant Coefficient	1997	İsmail Yaslan Gusein Sh. Guseinov
+	On the explicit solution of a special Hill's equation	1981	Harry Hochstadt
+ PDF Chat	On Hill′s equation with a discontinuous coefficient	2003	Ilkay Yaslan Karaca
+ PDF Chat	A new analytical formula for Hill's equation	1953	Masaji Kubo
+	Hill's Equations with Half-Periodic Coefficients	1968	Harry Hochstadt
+	On a Hill's equation with selected gaps in its spectrum	1979	Wallace Goldberg Harry Hochstadt
+	The Singular Hill Equation and Generalized Lindemann–Stieltjes Method	2015	Vladimir A. Koutvitsky E. M. Maslov
+ PDF Chat	The generalized Hill's differential equation	1976	Jiří Hnilica
+	A Cahn–Hilliard equation with singular diffusion	2012	Giulio Schimperna Irena Pawłow
+	A class of three dimensional Cahn-Hilliard equation with nonlinear diffusion	2023	Xiaopeng Zhao
+	On the relation between Hill's solution and Siegel's solution in Hill's problem.	1988	Naoki Watanabe
+	A CAHN-HILLIARD TYPE EQUATION WITH GRADIENT DEPENDENT POTENTIAL	2008	Yin Yin Jingxue Huang Rui Rui
+	Two Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential	2011	Huang Rui Rui Yin Yin Jingxue Wang Liang-Wei
+	Exceptional Solutions of Hill Equations	1995	Á. Elbert František Neuman
+	Spectral Method for a Class of Cahn-Hilliard Equation with Nonconstant Mobility	2009	Chai Chai Shimin Zou Yong-Kui Gong Cheng-Chun
+	Periodical Solution of Generalized Hill's Problem	1980	I. N. Latyshev
+	The spectrum of Hill's equation	1975	H. P. McKean Pierre van Moerbeke
+	Hill's Differential Equation	1945	N. W. McLachlan
+	Hill's Differential Equation	1945	N. W. McLachlan

Works That Cite This (17)

Action	Title	Year	Authors
+	Stability regions for Hill's equation	1975	W. S. Loud
+ PDF Chat	Invariance of the stability of meissner’s equation under a permutation of its intervals	2001	J. M. Almira Pedro J. Torres
+	18.—Asymptotic Estimates for the Lengths of the Gaps in the Essential Spectrum of Self-adjoint Differential Operators	1976	M. S. P. Eastham W. N. Everitt
+	On the band gap structure of Hill's equation	2005	Grégoire Allaire Rafael Orive
+	On a linear model of swinging with a periodic step function coefficient	2015	László Csizmadia László Hatvani
+	Reshaping Arnold tongues	2009	Luis Moreno-Ahedo Joaquı́n Collado
+	Instability intervals of a hill's equation with piecewise constant and alternating coefficient	2004	Gusein Sh. Guseinov Ilkay Yaslan Karaca
+	ASYMPTOTIC FORMULAS FOR EIGENVALUES OF A HILL'S EQUATION WITH PIECEWISE CONSTANT COEFFICIENT	2009	Ilkay Yaslan Karaca
+	Generalised Meissner Equations with an Eigenvalue-inducing Interface	2011	B. M. Brown M. S. P. Eastham
+	Nonoscillation of Mathieu’s equation whose coefficient is a finite Fourier series approximating a square wave	2017	Jitsuro Sugie

Works Cited by This (1)

Action	Title	Year	Authors
+	�ber lineare homogene Differentialgleichungen 2. Ordnung mit periodischen Koeffizienten. Bemerkung zur Arbeit gleichen Titels von HerrnHamel	1918	Otto Haupt