Donal O'Regan
Differential equations at resonance

Comment.Math.Univ.Carolinae 36,4 (1995) 673-694.

Abstract: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.

Keywords: boundary value problems, resonance, existence
AMS Subject Classification: 34B15

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