Comparison of eigenvalues for focal point problems for n-th order difference equations

Differential and Integral Equations

Volumn 3, Issue 2, 1990, Pages 363-380

  Hankerson, Darrel ^a   Peterson, Allan ^b   Lakshmikantham, V ^c  

^a AUBURN UNIVERSITY   (United States)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972525379     PISSN: 08934983     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. K. Deimling, "Nonlinear Functional Analysis," Springer-Verlag, New York, 1985.
2. R.D. Gentry and C.C. Travis, Comparison of eigenvalues associated with linear differential equations of arbitrary order, Trans. Amer. Math. Soc., 223 (1976), 167-179.
3. Dajun Guo and V. Lakshmikantham, "Nonlinear Problems in Abstract Cones," Academic Press, New York, 1988.
4. P. Hartman, Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity, Trans. Amer. Math. Soc., 246 (1978), 1-30.
5. M.S. Keener and C.C. Travis, Positive cones and focal points for a class of nth order differential equations, Trans. Amer. Math. Soc., 237 (1978), 331-351.
6. M.A. Krasnosel’skiĭ, "Positive Solutions of Operator Equations," Fizmatgiz, Moscow, 1962. English Translation P. Noordhoff Ltd. Groningen, The Netherlands, 1964.
7. M.G. Kreĭn and M.A. Rutman, Linear operators leaving a cone invariant in a Banach space, "American Mathematical Society Translations, Series 1 Volume 10," Amer. Math. Soc., Providence, R.I. (1962), 199-325.
8. A. Peterson, Boundary value problems for an nth order difference equation, SIAM J. Math. Anal., 15 (1984), 124-132.
9. W. Rudin, "Principles of Mathematical Analysis," Third Edition, McGraw-Hill, 1976.
10. C.C. Travis, Comparison of eigenvalues for linear differential equations of order 2n, Trans. Amer. Math. Soc., 177 (1973), 363-374.