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Keywords:
boundary value problems; resonance; existence
boundary value problems; resonance; existence
Summary:
New existence results are presented for the two point singular ``resonant'' boundary value problem $\frac{1}{p}(py')'+r y+\lambda_m qy=f(t,y,py')$ a.e\. on $[0,1]$ with $y$ satisfying Sturm Liouville or Periodic boundary conditions. Here $\lambda_m$ is the $(m+1)^{st}$ eigenvalue of $\frac{1}{pq} [(pu')' +rpu] +\lambda u=0$ a.e\. on $[0,1]$ with $u$ satisfying Sturm Liouville or Periodic boundary data.
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