Singular and nonsingular first-order initial value problems |
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| Authors: | P.S. Kelevedjiev S. Tersian |
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| Affiliation: | a Department of Mathematics, Technical University of Sliven, Sliven, Bulgaria
b Department of Mathematical Analysis, University of Rousse, Rousse, Bulgaria |
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| Abstract: | Under barrier strip type arguments we investigate the existence of global solutions to the initial value problem x′=f(t,x,x′), x(0)=A, where the scalar function f(t,x,p) may be singular at x=A. |
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| Keywords: | Initial value problem First-order differential equation Singularity Positive solutions Sign conditions |
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