# On boundary-value problems for partial differential equations of order higher than two

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 2, page 139-150
- ISSN: 0066-2216

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topJan Popiołek. "On boundary-value problems for partial differential equations of order higher than two." Annales Polonici Mathematici 65.2 (1997): 139-150. <http://eudml.org/doc/270020>.

@article{JanPopiołek1997,

abstract = {We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].},

author = {Jan Popiołek},

journal = {Annales Polonici Mathematici},

keywords = {partial differential equation; boundary-value problem; Volterra integral equation; initial boundary value problem},

language = {eng},

number = {2},

pages = {139-150},

title = {On boundary-value problems for partial differential equations of order higher than two},

url = {http://eudml.org/doc/270020},

volume = {65},

year = {1997},

}

TY - JOUR

AU - Jan Popiołek

TI - On boundary-value problems for partial differential equations of order higher than two

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 2

SP - 139

EP - 150

AB - We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].

LA - eng

KW - partial differential equation; boundary-value problem; Volterra integral equation; initial boundary value problem

UR - http://eudml.org/doc/270020

ER -

## References

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- [9] R. Nardini, Sul comportamento asintotico della soluzione di un problema al contorno della magneto-idrodinamica, Rend. Accad. Naz. Lincei 16 (1954), 225-231, 341-348, 365-366. Zbl0058.42404
- [10] B. Pini, Un problema di valori al contorno per un'equazione a derivate parziali del terzo ordine con parte principale di tipo composito, Rend. Sem. Fac. Sci. Univ. Cagliari 27 (1957), 114-135. Zbl0083.32303
- [11] J. Popiołek, The Cauchy problem for a higher-order partial differential equation, Izv. Akad. Nauk UzSSR 1 (1989), 25-30 (in Russian).
- [12] J. Popiołek, Properties of some integrals related to partial differential equations of order higher than two, this issue, 129-138. Zbl0887.35033
- [13] A. S. Rustamov, A mixed problem for the equation of composite type with variable coefficients, Differentsial'nye Uravneniya 18 (1982), 1794-1804 (in Russian). Zbl0512.35060
- [14] S. N. Salikhov, On a boundary-value problem for a partial differential equation with multiple characteristics, Izv. Akad. Nauk UzSSR 1983 (5), 29-33 (in Russian). Zbl0566.35022
- [15] Ya. S. Sharifbaev, On some boundary-value problems for equations of third order with the heat conduction operator in the principal part, Izv. Akad. Nauk UzSSR 1975 (1), 45-48 (in Russian).
- [16] J. Urbanowicz, On a certain non-linear contact problem for a one-dimensional parabolic equation of second order, Demonstratio Math. 16 (1983), 61-83. Zbl0545.35047
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