Recent trends in differential equations by Ravi P Agarwal

Recent trends in differential equations by Ravi P Agarwal

By Ravi P Agarwal

This sequence goals at reporting new advancements of a excessive mathematical ordinary and of present curiosity. each one quantity within the sequence can be dedicated to mathematical research that has been utilized, or almost certainly appropriate to the ideas of medical, engineering, and social difficulties. the 1st quantity of WSSIAA comprises forty two examine articles on differential equations by means of top mathematicians from around the world. This quantity has been devoted to V. Lakshmikantham on his sixty fifth birthday for his major contributions within the box of differential equations. many of the members of this quantity are - N.U. Ahmed, O. Arino, D. Bainov, K.W. Chang, Shui-Nee Chow, C. Corduneanu, okay. Deimling, M.S.P. Eastham, P.W. Eloe, L.H. Erbe, W.D. Evans, W.N. Everitt, H.I. Freedman, ok. Gopalsamy, I. Gyori, A. Halanay, T.G. Hallam, J. Henderson, S.K. Kaul, J. Kato, W. Kelley, Y. Kitamura, H.W. Knobloch, T. Kusano, guy Kam Kwong, G. Ladas, B.S. Lalli, J. Mawhin, A.B. Mingarelli, Z. Nashed, F. Neuman, J.J. Nieto, A. Peterson, Donal O'Regan, okay. Schmitt, V. Seda, I.P. Stavroulakis, C.A. Swanson, Y. Takeuchi, W. Trench, G. Vidossich, P. Volkmann, Hans-Otto Walther, G.F. Webb

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This paper is concerned with establishing existence results for a class of variational inequalities involving convex functional which are not necessarily semiadditive. An application to the study of unilateral problems for von Karman's equation is given. 1. Introduction. In this paper we shall establish existence theorems for a class of P - coercive variational inequalities which involve convex functionals which are not necessarily semiadditive. Our results may be considered to be nonlinear extensions of some of our earlier work ([1-2]) where the variational inequalities involve P - coercive bilinear forms.

6] J. L. Lions, "Quelques methodes de resolution des problemes limites nonlineaires," Dunod, Paris, 1969. [7] S. Timoshenko, "Theory of Plates and Shells," MacGraw Hill, New York, London, 1940. E IMPLIED BY JUMP DISCONTINUITIES OF THE COEFFICIENTS 0 . ARINO Departement de Mathematiques Universite de PAU 64000 PAU (FRANCE) AND A. BEN M'BAREK Departement de Mathematiques Faculte des Sciences RABAT (MOROCCO) ABSTRACT We c o n s i d e r t h e f o l l o w i n g c l a s s of equations : 2 d y —2 dt dy * H(y, — ) y = g ( y ) , dt where g Is smooth and H(u,v) Is a positive constant on each of the four quadrants determined by the u and v axes.

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