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# Article

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Keywords:
singular boundary value problem; system of differential equations; nonlocal boundary condition; existence principle; positive solution; $\phi$-Laplacian; Leray–Schauder degree
Summary:
Existence principles for solutions of singular differential systems$(\phi (u^{\prime }))^{\prime }=f(t,u,u^{\prime })$ satisfying nonlocal boundary conditions are stated. Here $\phi$ is a homeomorphism $\mathbb {R}^N$ onto $\mathbb {R}^N$ and the Carathéodory function $f$ may have singularities in its space variables. Applications of the existence principles are given.
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