Publication Cover
Applicable Analysis
An International Journal
Volume 4, 1974 - Issue 2
15
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Related non-homogeneous partial differential equations

Pages 161-189 | Published online: 02 May 2007

References

  • Balakrishnan , A.V. 1959 . An operational calculus for infinitesimal generators for semigroups . Trans. A.M.S. , : 330 – 353 .
  • Balakrishnan , A.V. 1960 . Fractional powers of closed operators and the semi-groups generated by them . Pacific J. of Math , 10 : 419 – 437 .
  • Bochner , S. 1949 . Diffusion equation and stochastic process . Proc, NaL Acad, Sciences , 35 : 368 – 370 .
  • Bragg , L.R. 1969 . Fundamental solutions and properties of solutions of the initial value radial Euler-Poisson-Darboux problem . J. Math. Mech. , 18 : 607 – 616 .
  • Bragg , L.R. 1969 . Hypergeometric operator series and related partial differential equations . Trans. AMS , 143 : 319 – 336 .
  • Bragg , L.R. and Dettman , J.W. 1968 . Related problems in partial differential equations . Bull. AMS , 74 : 375 – 378 .
  • Bragg , L.R. and Dettman , J.W. 1968 . Related partial differential equations and their applications . SI AM, J, Appl Math. , 16 : 459 – 467 .
  • Bragg , L.R. and Dettman , J.W. 1968 . An operator calculus for related partial differential equations . J. Math. Anal Appl , 22 : 261 – 271 .
  • Bragg , L.R. and Dettman , J.W. 1969 . A class of related Dirichlet and initial value problems . Proc. AMS 4ei: , 21 : 50 – 56 .
  • Burns , J.C. 1967 . The iterated equation of generalized axially symmetric potential theory II, General solutions of Weinstein's type . J. Australian Math. Soc. , 7 : 277 – 289 .
  • Burns , J.C. 1970 . The iterated equation of generalized axially symmetric potential theory V, Generalized Weinstein correspondence principle . J. Australian Math. Soc. 4ei: , 11 : 129 – 141 .
  • Butzer , P.L. and Berens , H. 1967 . Semi-Groups of Operators and Approximation 4 , New York Inc : Springer-Verlag .
  • Delsarte , J. 1938 . Sur certaines transformations functionelles relatives aux equations iineaires aux derivees partielles due second ordre . C. R. Acad. Sc. Paris , 206 : 1780
  • Delsarte , X. 1956 . Hypergroups et operateurs de permutations et de transmutations . La Theorie des equations aux derivees partielles , 206 : 29 – 45 .
  • Dettman , J.W. 1969 . Initial boundary value problems related through the Stieltjes transform . J. Math. Anal Appl , 25 : 341 – 349 .
  • Fattorini , H.O. 1969 . Ordinary differential equations in linear topological spaces I . J. Diff. Eqns. , 5 : 72 – 105 .
  • Feller , W. 1952 . On a generalization of Marcel Riesz' potentials and the semi-groups generated by them . Communications du seminaire mathematique de Vuniversite de Lund, tome supplimentaire 4ei: , 5
  • Goldstein , J.A. 1969 . Semi-Groups and hyperbolic equations . J. Func. Anal , 4 : 50 – 70 .
  • Goldstein , J.A. 1970 . On a connection between first and second order differential equations in Banach spaces . J. Math. Anal Appl , 30 : 246 – 251 .
  • Griego , R.J. and Hersh , R. 1969 . Random evolutions, Markov chains, and systems of partial differential equations . Proc. Nat. Acad. Sci. , 62 : 305 – 308 .
  • Hille , E. and Phillips , R. 1957 . Functional Analysis and Semi-Groups , Providence : Coll. AMS .
  • Lions , J.L. 1956 . Operateurs de Delsarte et problemes mixtes . Bull. Soc. Math., France , 84 : 9 – 95 .
  • Lions , J.L. 1959 . Operateurs de transmutation singuliers et equations d'Euler Poisson Darboux generalises . Rend. Sem. Mat. Fis. Milano. , 28 : 124 – 137 .
  • Lions , J.L. 1959 . On the generalized radiation problem of Weinstein . J. Math. andMech. 4ei: , 18 : 873 – 888 .
  • Weinstein , A. 1953 . Generalized axially symmetric potential theory . Bull AMS , 59 : 20 – 38 .
  • Weinstein , A. 1955 . On a class of partial differential equations of even order . Ann. Mat. Pura Appl .4ei: , 39 : 245 – 254 .
  • Weinstein , A. 1955 . The generalized radiation problem and the Euler-Poisson-Darboux equation . Summa Brasiliensis , 3 : 125 – 146 .
  • Weinstein , A. 1956 . Sur un probleme de Cauchy avec des donnees sousharmonique . C. R. Acad. Sc. Paris. , 243 : 1993 – 1994 .
  • Yosida , K. 1965 . Funcational Analysis 4 , New York : Acad. Press Inc .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.