Pseudo-Laplace transform

Nonlinear Analysis, Theory, Methods and Applications

Volumn 33, Issue 5, 1998, Pages 533-550

  Pap, Endre ^a   Ralević, Nebojša ^a  

^a UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

g integral; Hamilton Jacobi equation; Pseudo addition; Pseudo integral; Pseudo Laplace transform; Pseudo multiplication; Pseudoconvolution

Indexed keywords

CONTROL THEORY; DYNAMIC PROGRAMMING; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; OPTIMIZATION; THEOREM PROVING; VARIATIONAL TECHNIQUES;

CAUCHY PROBLEM; HAMILTON-JACOBI EQUATION; PSEUDO LAPLACE TRANSFORM;

LAPLACE TRANSFORMS;

EID: 0032163168     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00568-3     Document Type: Article

References (16)

1. J. Aczel, Lectures on Functional Equations and their Applications. Academic Press, New York, 1966.
2. V.P. Maslov, On a new superposition principle in optimization theory, Uspehi mat. nauk 42 (1987) 39-48.
3. V.P. Maslov, S.N. Samborskij (Eds.), Idempotent Analysis, Advances in Soviet Mathematics 13. Amer. Math. Soc., Providence, RI, 1992.
4. E. Pap, Null-Additive Set Functions. Kluwer Academic, Dordrecht, 1995.
5. E. Pap, g-calculus. Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 23(1) (1993) 145-150.
6. D.V. Widder, The Laplace Transform. Princeton University Press, Princeton, 1946.
7. R.E. Bellman, S.E. Dreyfus, Applied Dynamic Programming, Princeton University Press, Princeton, NJ, 1962.
8. R.E. Bellman, W. Karush, On a new functional transform in analysis: the Maximum Transform. Bull. Amer. Math. Soc. 67 (1961) 501-503.
9. M.G. Crandall, P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 272 (1983) 1-40.
10. P.L. Lions, Generalized Solutions of Hamilton-Jacobi equations. Pitman, London, 1982.
11. N. Ralević, Some new properties of g-calculus. Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 24(1) (1994) 139-157.
12. E. Pap, N. Teofanov, Pseudo-delta sequences, To Appear.
13. F. Baccelli, G. Cohen, G.J. Olsder, J.P. Quadrat, Synchronization and Linearity: an Algebra for Discrete Event Systems, Wiley, New York, 1992.
14. M. Sugeno, T. Murofushi, Pseudo-additive measures and integrals. J. Math. Anal. Appl. 122 (1987) 197-222.
15. W. Fenchel, On the conjugate convex functions. Canadian Journal of Mathematics 1 (1949) 73-77.
16. I. Ekeland, R. Temam, Convex analysis and variational problems. North-Holland, Amsterdam, 1976.