1.

R.P. Agarwal and A. Prástaro, Geometry of PDE's.III(I): Webs on PDE's and integral bordism groups. The general theory, Adv. Math. Sci. Appl., 17(1) (2007), 239–266. MR2337378 1143.53017R.P. Agarwal and A. Prástaro, Geometry of PDE's.III(I): Webs on PDE's and integral bordism groups. The general theory, Adv. Math. Sci. Appl., 17(1) (2007), 239–266. MR2337378 1143.53017

2.

R.P. Agarwal and A., Prástaro,Geometry of PDE's.III(II): Webs on PDE's and integral bordism groups. Applications to Riemannian geometry PDE's, Adv. Math. Sci. Appl., 17(1) (2007), 267–285. MR2337379 1140.53005R.P. Agarwal and A., Prástaro,Geometry of PDE's.III(II): Webs on PDE's and integral bordism groups. Applications to Riemannian geometry PDE's, Adv. Math. Sci. Appl., 17(1) (2007), 267–285. MR2337379 1140.53005

3.

R.L. Bryant, S.S. Chern, R. B. Gardner, H.L. Goldschmidt and P.A. Griffiths, Exterior differential systems, Springer-Verlag, New York, 1991. MR1083148R.L. Bryant, S.S. Chern, R. B. Gardner, H.L. Goldschmidt and P.A. Griffiths, Exterior differential systems, Springer-Verlag, New York, 1991. MR1083148

4.

S. Cappel, A. Ranicki and J. Rosenberg (eds.), Surveys on Surgery Theory: Volume 1, Papers dedicated to C.T.C. Wall, Princeton University Press, Princeton, New Jersey, 1999. MR1746325S. Cappel, A. Ranicki and J. Rosenberg (eds.), Surveys on Surgery Theory: Volume 1, Papers dedicated to C.T.C. Wall, Princeton University Press, Princeton, New Jersey, 1999. MR1746325

5.

H. Goldshmidt, Integrability criteria for systems of non-linear partial differential equations, Journal Differential Geometry, 1 (1967), 269–307. MR226156 euclid.jdg/1214428094  0159.14101H. Goldshmidt, Integrability criteria for systems of non-linear partial differential equations, Journal Differential Geometry, 1 (1967), 269–307. MR226156 euclid.jdg/1214428094  0159.14101

6.

M. Gromov, Partial Differential Relations, Springer-Verlag, Berlin, 1986. MR864505 0651.53001M. Gromov, Partial Differential Relations, Springer-Verlag, Berlin, 1986. MR864505 0651.53001

7.

M.W. Hirsh, Differential Topology, Springer-Verlag, Berlin, 1976. MR448362M.W. Hirsh, Differential Topology, Springer-Verlag, Berlin, 1976. MR448362

8.

D.H., Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A., 27 (1941), 222–224. MR4076 10.1073/pnas.27.4.222D.H., Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A., 27 (1941), 222–224. MR4076 10.1073/pnas.27.4.222

9.

A.M. Ljapunov, Stability of Motion, with an contribution by V. A. Pliss and an introduction by V. P. Basov. Mathematics in Science and Engineering, 30, Academic Press, New York-London, 1966. MR208093A.M. Ljapunov, Stability of Motion, with an contribution by V. A. Pliss and an introduction by V. P. Basov. Mathematics in Science and Engineering, 30, Academic Press, New York-London, 1966. MR208093

10.

V. Lychagin and A. Prástaro, Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism, Diff. Geom. Appl., 4 (1994), 287–300. MR1299399 10.1016/0926-2245(94)00017-4 0808.58039V. Lychagin and A. Prástaro, Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism, Diff. Geom. Appl., 4 (1994), 287–300. MR1299399 10.1016/0926-2245(94)00017-4 0808.58039

11.

I.B. Madsen R.J. Milgram, The Classifying Spaces for Surgery and Bordism of Manifolds, Ann. Math. Studies, Princeton Univ. Press, NJ, 1979. MR548575 0446.57002I.B. Madsen R.J. Milgram, The Classifying Spaces for Surgery and Bordism of Manifolds, Ann. Math. Studies, Princeton Univ. Press, NJ, 1979. MR548575 0446.57002

12.

J. Milnor and J. Stasheff, Characteristic Classes, Ann. Math. Studies 76, Princeton Univ. Press, 1974. MR440554J. Milnor and J. Stasheff, Characteristic Classes, Ann. Math. Studies 76, Princeton Univ. Press, 1974. MR440554

13.

A. Prástaro, Dynamic conservation laws, Geometrodynamics Proceedings 1985, A. Prástaro (ed.), World Scientific Publishing Co., Singapore, 1985. MR825801A. Prástaro, Dynamic conservation laws, Geometrodynamics Proceedings 1985, A. Prástaro (ed.), World Scientific Publishing Co., Singapore, 1985. MR825801

14.

A. Prástaro, Cobordism of PDE's, Boll. Un. Mat. Ital., 30(5-B) (1991), 977–1001. MR1146783A. Prástaro, Cobordism of PDE's, Boll. Un. Mat. Ital., 30(5-B) (1991), 977–1001. MR1146783

15.

A. Prástaro, Quantum geometry of PDE's, Rep. Math. Phys., 30 (1991) no.3, 273–354. MR1198655 10.1016/0034-4877(91)90063-S 0887.58064A. Prástaro, Quantum geometry of PDE's, Rep. Math. Phys., 30 (1991) no.3, 273–354. MR1198655 10.1016/0034-4877(91)90063-S 0887.58064

16.

A. Prástaro, Geometry of PDEs and Mechanics, World Scientific Publishing Co., Singapore, 1996. MR1412798A. Prástaro, Geometry of PDEs and Mechanics, World Scientific Publishing Co., Singapore, 1996. MR1412798

17.

A. Prástaro, (Co)bordisms in PDE's and quantum PDE's, Rep. Math. Phys., 38 (1996), no.3, 443–455. MR1437641 10.1016/S0034-4877(97)84894-X 0885.58094A. Prástaro, (Co)bordisms in PDE's and quantum PDE's, Rep. Math. Phys., 38 (1996), no.3, 443–455. MR1437641 10.1016/S0034-4877(97)84894-X 0885.58094

18.

A. Prástaro, Quantum and integral (co)bordism groups in partial differential equations, Acta Appl. Math., 51 (1998), no.3, 243–302.A. Prástaro, Quantum and integral (co)bordism groups in partial differential equations, Acta Appl. Math., 51 (1998), no.3, 243–302.

19.

A. Prástaro, (Co)bordism groups in PDE's, Acta Appl. Math., 59 (1999), no.2, 111–202. MR1741657 10.1023/A:1006346916360A. Prástaro, (Co)bordism groups in PDE's, Acta Appl. Math., 59 (1999), no.2, 111–202. MR1741657 10.1023/A:1006346916360

20.

A. Prástaro, Quantized Partial Differential Equations, World Scientific Publishing Co., 2004. MR2086084A. Prástaro, Quantized Partial Differential Equations, World Scientific Publishing Co., 2004. MR2086084

21.

A. Prástaro, Geometry of PDE's. I: Integral bordism groups in PDE's, J. Math. Anal. Appl., 319 (2006), 547–566. MR2227923 10.1016/j.jmaa.2005.06.044 1100.35007A. Prástaro, Geometry of PDE's. I: Integral bordism groups in PDE's, J. Math. Anal. Appl., 319 (2006), 547–566. MR2227923 10.1016/j.jmaa.2005.06.044 1100.35007

22.

A. Prástaro, Geometry of PDE's. II: Variational PDE's and integral bordism groups, J. Math. Anal. Appl., 321 (2006), 930–948. MR2241487 10.1016/j.jmaa.2005.08.037 1160.58301A. Prástaro, Geometry of PDE's. II: Variational PDE's and integral bordism groups, J. Math. Anal. Appl., 321 (2006), 930–948. MR2241487 10.1016/j.jmaa.2005.08.037 1160.58301

23.

A. Prástaro, Geometry of PDE's. IV: Navier-Stokes equation and integral bordism groups, J. Math. Anal. Appl. 338(2) (2008), 1140–1151. MR2386488 10.1016/j.jmaa.2007.06.009 1135.35064A. Prástaro, Geometry of PDE's. IV: Navier-Stokes equation and integral bordism groups, J. Math. Anal. Appl. 338(2) (2008), 1140–1151. MR2386488 10.1016/j.jmaa.2007.06.009 1135.35064

24.

A. Prástaro and Th.M. Rassias, Ulam stability in geometry of PDE's, Nonlinear Funct. Anal. and Appl., 8 (2003), no.2, 259–278. MR1994707A. Prástaro and Th.M. Rassias, Ulam stability in geometry of PDE's, Nonlinear Funct. Anal. and Appl., 8 (2003), no.2, 259–278. MR1994707

25.

D. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operators, Advances Math., 7 (1971), 29–56. MR290382 10.1016/0001-8708(71)90041-7 0214.50502D. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operators, Advances Math., 7 (1971), 29–56. MR290382 10.1016/0001-8708(71)90041-7 0214.50502

26.

Th.M. Rassias, On a modified Hyers-Ulam sequence, J. Math. Anal. Appl., 158 (1991),106–113. MR1113403 10.1016/0022-247X(91)90270-A 0746.46038Th.M. Rassias, On a modified Hyers-Ulam sequence, J. Math. Anal. Appl., 158 (1991),106–113. MR1113403 10.1016/0022-247X(91)90270-A 0746.46038

27.

J.J. Rotman, An Introduction to Homological Algebra, Academic Press, San Diego, 1979. MR538169J.J. Rotman, An Introduction to Homological Algebra, Academic Press, San Diego, 1979. MR538169

28.

Y.B. Rudyak, On Thom Spectra, Orientability and Cobordism, Springer-Verlag, Berlin 1998. MR1627486 0906.55001Y.B. Rudyak, On Thom Spectra, Orientability and Cobordism, Springer-Verlag, Berlin 1998. MR1627486 0906.55001

29.

R.E. Stong, Notes on Bordism Theories, Ann. Math. Studies. Princeton Univ. Press 1968.R.E. Stong, Notes on Bordism Theories, Ann. Math. Studies. Princeton Univ. Press 1968.

30.

M.E. Sweedler, Hopf Algebras, Benjamin, New York, 1969. MR252485M.E. Sweedler, Hopf Algebras, Benjamin, New York, 1969. MR252485

31.

R. Switzer, Algebraic Topology-Homotopy and Homology, Springer-Verlag, Berlin 1975. MR385836R. Switzer, Algebraic Topology-Homotopy and Homology, Springer-Verlag, Berlin 1975. MR385836

32.

R. Thom, Quelques propriété globales des variétés différentieles, Commentary Mathematical Helveticae 28 (1954), 17–86. MR61823 10.1007/BF02566923R. Thom, Quelques propriété globales des variétés différentieles, Commentary Mathematical Helveticae 28 (1954), 17–86. MR61823 10.1007/BF02566923

33.

R. Thom, Remarques sur les problemes comportant des inéqualities différentielles globales, Bulletin Societe Mathematique France 87, 455–468. MR121807R. Thom, Remarques sur les problemes comportant des inéqualities différentielles globales, Bulletin Societe Mathematique France 87, 455–468. MR121807

34.

S.M. Ulam, A collection of Mathematical Problems, Interscience Publ., New York, 1960. MR120127 0086.24101S.M. Ulam, A collection of Mathematical Problems, Interscience Publ., New York, 1960. MR120127 0086.24101

35.

C.T.C. Wall, Determination of the cobordism ring, Ann. of Math., 72 (1960), 292–311. MR120654 10.2307/1970136 0097.38801C.T.C. Wall, Determination of the cobordism ring, Ann. of Math., 72 (1960), 292–311. MR120654 10.2307/1970136 0097.38801

36.

C.T.C. Wall, Surgery on Compact Manifolds, London Math. Soc. Monographs 1, Academic Press, New York, 1970; 2nd editition (ed. A. A. Ranicki), Amer. Math. Soc. Surveys and Monographs 69, AMS, 1999.C.T.C. Wall, Surgery on Compact Manifolds, London Math. Soc. Monographs 1, Academic Press, New York, 1970; 2nd editition (ed. A. A. Ranicki), Amer. Math. Soc. Surveys and Monographs 69, AMS, 1999.