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If $Y$ is a subset of the space $ℝ^{n} \times ℝ^{n}$ , we call a pair of continuous functions $U$ , $V$ $Y$ -compatible, if they map the space $ℝ^{n}$ into itself and satisfy $U x \cdot V y \geq 0$ , for all $(x, y) \in Y$ with $x \cdot y \geq 0$ . (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential $n$ -dimensional system is investigated, provided the boundary conditions are given via a pair of compatible mappings. By using a truncation of the initial equation and restrictions of its domain, Brouwer’s...

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$C^{1}$ -approximate solutions of second-order singular ordinary differential equations.

Positive solutions of a three-point boundary-value problem for differential equations with damping and actively bounded delayed forcing term.

Triple positive solutions for the $Φ$ -Laplacian when $Φ$ is a sup-multiplicative-like function.

Regularization for evolution equations in Hilbert spaces involving monotone operators via the semi-flows method.

On a difference equation with min-max response.

A fixed point Theorem for Generalized Contractions

Asymptotic behavior of a certain functional equation via limiting equations

Boundary value problems with compatible boundary conditions