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OA Repin, SK Kumykova (2012)
On a Certain Boundary Value Problem with Displacement for an Equation of Mixed Type in an Unbounded DomainDiffer. Uravn., 48
AM Nakhushev (1974)
Inverse Problems for Degenerate Equations, and Volterra Integral Equations of the Third KindDiffer. Uravn., 10
M. Saigo (1978)
A remark on integral operators involving the Gauss hypergeometric functionsMathematical reports of College of General Education, Kyushu University, 11
MM Smirnov (1985)
Uravneniya smeshannogo tipa
AP Prudnikov, YuA Brychkov, OI Marichev (1983)
Integraly i ryady. Spetsial’nye funktsii
NI Muskhelishvili (1968)
Singulyarnye integral’nye uravneniya
(1983)
Integraly i ryady. Spetsial’nye funktsii (Integrals and Series. Special Functions)
SK Kumykova (1981)
A Boundary Value Problem with Shift for the Equation (sgn y) |y|m u xx + u yy = 0Differ. Uravn., 17
(1992)
Kraevye zadachi so smeshcheniem dlya uravnenii giperbolicheskogo i smeshannogo tipov (Boundary Value Problems with Shift for Equations of Hyperbolic and Mixed Type), Saratov: Saratov
MM Smirnov (1966)
Vyrozhdayushchiesya ellipticheskie i giperbolicheskie uravneniya
E. Schock (1985)
Integral equations of the third kindStudia Mathematica, 81
(1985)
Uravneniya smeshannogo tipa (Equations of Mixed Type)
AV Bitsadze (1981)
Nekotorye klassy uravnenii v chastnykh proizvodnykh
(1966)
Vyrozhdayushchiesya ellipticheskie i giperbolicheskie uravneniya (Degenerating Elliptic and Hyperbolic Equations)
(2008)
Metod drobnykh proizvodnykh (Method of Fractional Derivatives), Ul’yanovsk
VV Uchaikin (2008)
Metod drobnykh proizvodnykh
F Tricomi (1954)
Lezioni sulle equazioni a derivate parziali
OA Repin (1992)
Kraevye zadachi so smeshcheniem dlya uravnenii giperbolicheskogo i smeshannogo tipov
(1968)
Singulyarnye integral’nye uravneniya (Singular Integral Equations)
(1981)
A Boundary Value Problem with Shift for the Equation (sgn y)|y|uxx + uyy = 0, Differ
(1974)
A Problem with Nonlocal Boundary Conditions on the Characteristics for an Equation of Mixed Type, Differ
SG Samko, AA Kilbas, OI Marichev (1987)
Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya
(1987)
Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya (Fractional Integrals and Derivatives and Some of Their Applications)
(1981)
Nekotorye klassy uravnenii v chastnykh proizvodnykh (Some Classes of Partial Differential Equations)
(1954)
Translated under the title Lektsii po uravneniyam v chastnykh proizvodnykh
Richard Bellman (1955)
Review: F. G. Tricomi, Lezioni sulle equazioni a derivate parzialiBulletin of the American Mathematical Society, 61
(1996)
The Tricomi Problem for an Equation of Mixed Type in a Domain Whose Elliptic Part Is a Half-Strip, Differ
For the Gellerstedt equation, we study a problem with shift in a domain whose elliptic part is an infinite half-strip. By using generalized fractional differentiation operators, we specify a linear combination that relates the value of the solution on characteristics of the equation with the value of the solution and its derivative on the parabolic degeneration line. We prove the unique solvability of this problem.
Differential Equations – Springer Journals
Published: Jul 15, 2014
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