An Optimal Control Problem for a Nonlocal Problem on the Plane

Devadze, David; Sarajishvili, Ts.; Abashidze, Marina

doi:10.1007/978-3-319-62181-4_8

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2017

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“…Vekua [35] and in the works of G.F. Mandzhavidze and V. Tuchke [27]. In [3], [12], [13], [14], [15] nonlocal boundary value problem is considered for quasilinear differential equations in the plane.…”

Section: Introductionmentioning

confidence: 99%

The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem

Devadze

2017

Communications in Mathematics

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Abstract. An m-point nonlocal boundary value problem is posed for quasilinear differential equations of first order on the plane. Nonlocal boundary value problems are investigated using the algorithm of reducing nonlocal boundary value problems to a sequence of Riemann-Hilbert problems for a generalized analytic function. The conditions for the existence and uniqueness of a generalized solution in the space are considered.

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Section: Introductionmentioning

confidence: 99%

The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem

Devadze

2017

Communications in Mathematics

View full text Add to dashboard Cite

show abstract

An Optimal Control Problem for a Nonlocal Problem on the Plane

Cited by 1 publication

References 14 publications

The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem

The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem

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