Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity
Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity
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DOI：
10.1090/s0002-9947-1978-0515528-6
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发表时间：
1978-12
影响因子：
1.3
通讯作者：
P. Hartman
中科院分区：
文献类型：
--
作者：
P. Hartman
我们找到了n阶线性差分方程的类似结果。其中包括不共轭的概念，P6lya的不共轭判据，Frobenius因子化，推广的Sturm定理，非共轭解的存在性和性质，绿色函数的符号，依赖于参数的方程解的完全单调族.
We find analogues of known results on nth order linear differen- tial equations for nth order linear difference equations. These include the concept of disconjugacy, P6lya's criterion for disconjugacy, Frobenius fac- torizations, generalized Sturm theorems, existence and properties of prin- cipal solutions, signs of Green's functions, and completely monotone fami- lies of solutions of equations depending on a parameter.