Geodesic
Multiple nonnegative solutions for a class IVPs for second order odes
Filomat, Tome 35 (2021) no. 14, p. 4701

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DOI

We study a class of initial value problems for second order ODEs. The interesting points of our results are that the nonlinearity depends on the solution and its derivative and may change sign. Moreover, it satisfies general polynomial growth conditions. A new topological approach is applied to prove the existence of at least two nonnegative classical solutions. The arguments are based upon a recent theoretical result
DOI : 10.2298/FIL2114701G
Classification : 47H10, 58J20, 35L15
Keywords: ODE, existence, nonnegative solution, fixed point, cone, sum of operators 
Svetlin Georgiev Georgiev; Mohamed Majdoub; Karima Mebarki. Multiple nonnegative solutions for a class IVPs for second order odes. Filomat, Tome 35 (2021) no. 14, p. 4701 . doi: 10.2298/FIL2114701G
@article{10_2298_FIL2114701G,
     author = {Svetlin Georgiev Georgiev and Mohamed Majdoub and Karima Mebarki},
     title = {Multiple nonnegative solutions for a class {IVPs} for second order odes},
     journal = {Filomat},
     pages = {4701 },
     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114701G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114701G/}
}
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