Sturm-Liouville Eigenvalue Problems for Half- Linear Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Singular Eigenvalue Problems for Second Order Linear Ordinary Differential Equations
We consider linear differential equations of the form (p(t)x′)′ + λq(t)x = 0 (p(t) > 0, q(t) > 0) (A) on an infinite interval [a,∞) and study the problem of finding those values of λ for which (A) has principal solutions x0(t;λ) vanishing at t = a. This problem may well be called a singular eigenvalue problem, since requiring x0(t;λ) to be a principal solution can be considered as a boundary co...
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Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.
متن کاملStudies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
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We study the relationship between the eigenvalues of separated self-adjoint boundary conditions and coupled self-adjoint conditions. Given an arbitrary real coupled boundary condition determined by a coupling matrix K we construct a one parameter family of separated conditions and show that all the eigenvalues for K and −K are extrema of the eigencurves of this family. This characterization mak...
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originates in the works of Mirzov [17] and Elbert [5], who named these equations `half linear’. This theory extends various aspects of oscillation theory, such as the Picone identity [10], Sturm comparison theorem [16, 17], oscillation and nonoscillation criteria of Kneser type [16] and Hille type [14], and other oscillation criteria [3]. One branch of this research is the study of the eigenval...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2001
ISSN: 0035-7596
DOI: 10.1216/rmjm/1020171678