Existence and uniqueness of solutions for fourth-order boundary-value problems in Banach spaces
This article concerns the fourth-order boundary-value problem $$displaylines{ x^{(4)}(t)=f(t,x(t),x''(t)),quad tin (0,1),cr x(0)=x(1)=x''(0)=x''(1)=heta, }$$ in a Banach space. We present some spectral conditions, on the nonlinearity $f(t,u,v)$, to guarantee the e...
| Format: | Article |
|---|---|
| Language: | English |
| Published: |
Texas State University
2009-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/33/abstr.html |