Existence of solutions for \((k,n-k-2)\) conjugate boundary-value problems at resonance with \(\dim \mathrm{ker} L=2\)
Electronic journal of differential equations, Tome 2013 (2013)
By constructing suitable project operators and using the coincidence degree theory due to Mawhin, the existence of solutions for (k,n-k-2) conjugate boundary-value problems at resonance with dim kerL = 2 is obtained.
Classification : 35B34, 34B10
Keywords: resonance, Fredholm operator, boundary value problem
@article{EJDE_2013__2013__a89,
     author = {Jiang,  Weihua},
     title = {Existence of solutions for \((k,n-k-2)\) conjugate boundary-value problems at resonance with \(\dim \mathrm{ker} {L=2\)}},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1309.34027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a89/}
}
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Jiang,  Weihua. Existence of solutions for \((k,n-k-2)\) conjugate boundary-value problems at resonance with \(\dim \mathrm{ker} L=2\). Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a89/