PUBLICATIONS
1.
Connection formulas for asymptotic solutions for second
order turning points in unbounded domains,
2.
Doubly asymptotic series for the n-th
order differential equations in unbounded domains,
3. Studies on doubly asymptotic series solutions for differential equations in unbounded domains, J. Math. Anal. Appl., 44 (1973), 238-263.
4. Adiabatic invariants for linear Hamiltonian systems (with K. Meyer), J. Diff. Eqns., 17 (1975), 23-43; International Conference on Differential Equations, edited by H. Antosiewicz, Academic Press (1975); Geometrie symplectique et physique mathematique, Colloques Internationaux de Centre National de la Recherche Scientifique, 237 (1974), 137-145.
5. Lateral connections for asymptotic solutions for higher order turning points in unbounded domains, J. Math. Anal. Appl., 50 (1975), 560-578.
6. A doubly asymptotic existence theorem and application to order reduction, Proc. London Math. Soc., (3) 33 (1976), 151-176.
7. Distribution of eigenvalues in the presence of higher turning points, Trans. Amer. Math. Soc., 229 (1977), 111-135.
8. A third order linear differential equation on the real line, with two turning points, J. Diff. Eqns., 29 (1978), 304-328.
9.
Connection formulas and behavior in the large for
solutions of linear differential equations depending singularly on a parameter,
Singular Perturbations Asymptotics, Math.
10. Analysis of models for commercial fishing: Mathematical and economical aspects, (with A. Wang), Econometrica, 44 (1976), 295-303.
11. Limiting behavior for several interaction populations, Math. Biosci., 29 (1976), 85-98.
12. 12. Periodic solutions for a prey-predator differential delay equation, J. Diff. Eqns. 26 (1977), 391-403.
13. Limiting behavior for a prey-predator model with diffusion and crowding effects, J. Math. Biol., 6 (1978), 87-93.
14. Conditions for global stability concerning a prey-predator model with delay effects, SIAM J. Appl. Math., 36 (1979), 281-286.
15. Bifurcations and large-time asymptotic behavior for prey-predator reaction-diffusion equations with Dirichlet boundary data, (with D. Clark), J. Diff. Eqns., 35 (1980), 113-127.
16. Equilibria and stabilities for competing species reaction-diffusion equations with Dirichlet boundary data, J. Math. Anal. Appl., 73 (1980), 204-218.
17. Stabilities for equilibria of competing-species reaction-diffusion equations with homogeneous Dirichlet condition, Funk. Ekv. (Ser. Internat.), 24 (1981), 201-210.
18.
A semilinear
reaction-diffusion prey-predator system with nonlinear coupled boundary
conditions: equilibrium and stability,
19. Monotone schemes for semilinear elliptic systems relative to ecology, Math. Methods in Appl. Sciences, 4 (1982), 272-285.
20. The reaction-diffusion system of competing populations, singularly perturbed by small diffusion rates, Rocky Mountain J. Math. 13 (1983), 177-190.
21. Monotone scheme for finite difference equations concerning steady-state prey-predator interactions (with A.C. Lazer and D.A. Murio), J. Computational and Appl. Math., 8 (1982), 243-252.
22. A study of three species population reaction-diffusion equations by monotone schemes, J. Math. Anal. Appl., 100 (1984), 583-604.
23. Monotone scheme for finite difference equations concerning steady-state competing-species interactions (with D.A. Murio), Portugaliae Mathematica, 39 (1980), 497-510.
24. Monotone schemes for three species prey-predator reaction-diffusion, in Lecture Notes in Biomathematics, Springer-Verlag, Vol. 52 (1983).
25.
Positive solutions for temperature-dependent two-group
neutron flux equations: equilibrium and stabilities (with G.S. Chen),
26.
Nonlinear density-dependent diffusion for competing
species interaction: large-time asymptotic behavior, Proceedings of
27. Nonlinear multigroup neutron-flux systems: blow-up, decay and steady states (with G.S. Chen), J. Math. Phys., 26 (1985), 1553-1559.
28. N. competing species with one prey in heterogeneous environment under Neumann boundary conditions: steady states and stability (with B. Bendjijlali), SIAM Appl. Math., 46 (1986), 81-98.
29. A general monotone scheme for elliptic systems with applications to ecological models (with P. Korman), Proc. of Royal Soc. of Edinburgh, 102A (1986), 315-325.
30.
Accelerated monotone scheme for finite difference
equations concerning steady state prey-predator interactions (with D. Murio), J. Computational and Appl.
Math., 16 (1986), 333-341, Numerical Approximation of Partial
Differential Equations,
31. L2 convergence for positive finite difference solutions of the diffusive logistic equation in two dimensional bounded domains (with D. Murio), International J. Comp. & Math. with Appl., 12A (1986), 991-1005.
32. Elliptic and parabolic systems for neutron fission and diffusion (with G.S. Chen), J. Math. Anal. Appl., 120 (1986), 655-669.
33.
A general alternating scheme for systems of equations
(with
34. On the existence and uniqueness of positive steady-states in the Volterra-Lotka ecological models with diffusion (with P. Korman), J. Applicable Analysis, 26 (1987), 145-159.
35. Global stability for large systems of Volterra-Lotka type integro-differentiable population delay equations (with Z. Zhou), J. Nonlinear Analysis, 12 (1988), 495-505.
36.
Diffusion-reaction systems in neutron-fission reactors
and ecology, Nonlinear Diffusion Equations and Their Equilibrium States II,
Math. Sciences Research Institute Publ, Edited by
W.M. Ni,
37. Positive solutions for reactor multigroup neutron transport systems: critility problem (with G.S. Chen), SIAM J. Appl. Math., 49 (1989), 871-887.
38.
Monotone iterations for nonlinear obstacle problem
(with P. Korman and
39.
Positive solutions for degenerate and non-degenerate
elliptic systems: Existence and numerical approximations (with G. Fan), Asymptotic
and Computational Analysis, edited by R. Wong, Marcel Dekker,
40. Existence of positive solutions for elliptic systems, degenerate and non-degenerate ecological models (with G. Fan), J. Math. Anal. Appl., 151 (1990), 512-531.
41.
Direct methods for some distributed games (with
42. Existence and stabilities of periodic solutions for competing-species diffusion systems with Dirichlet boundary conditions (with G. Fan), J. Applicable Analysis, 39 (1990), 119-149.
43. Nonlinear reactor multigroup neutron transport system: existence and stability problems (with G.S. Chen), J. Math. Phys., 32 (1991), 4, 905-915.
44. Stability criteria for multiple limit cycles (with R. Xu), Dynamic Systems and Applications, 1 (1992), 283-315.
45.
Optimal control for elliptic Volterra-Lotka
equations (with
46. Optimal control for nonlinear systems of partial differential equations related to ecology, IMA Preprint Series #1126, (1993); Proceedings of the Third International Colloquium on Differential Equations, International Science Publishers, Netherlands, 1993.
47. Periodic optimal control for competing parabolic Volterra-Lotka type systems (with F. He and S. Stojanovic), J. Comp. & Appl. Math., 52 (1994), 199-217.
48.
Stability analysis for cone-beam reconstruction, Proc.
of Second International Dynamic System Identification and Inverse Problems
edited by O. Alifanov, (with D. Murio,
B.D. Smith et al.) Sect. F, Vol. 2, F5.1-F5.12,
49. Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems, Applied Mathematics & Optimization, 31 (1995), 219-241.
50. Periodic optimal control for parabolic Volterra-Lotka type equations (with F. He and S. Stojanovic), Math. Methods in Appl. Sciences, 18 (1995), 127-146.
51. Bifurcating solutions and stabilities for multigroup neutron fission systems with temperature feedback (with Luis Ortega), J. Math. Anal. Appl., 194 (1995), 489-510.
52. Positive steady-states for large systems of reaction-diffusion equations: synthesizing from smaller subsystems (with L. Ortega), Canadian Applied Math. Quarterly, 4(1996), 175-195.
53. Reaction-diffusion systems with temperature feedback: bifurcations and stability, Proceedings of World Congress of Nonlinear Analysis 96, J.Nonlinear Analysis, 30(1997), 3379- 3390.
54. Reaction-diffusion systems for multigroup neutron fission with temperature feedback positive steady-state and stability (with B. Villa), Differential and Integral Equations, 10(1997), 739-756.
55. Finite extinction time for nonlinear parabolic equations with nonlinear mixed boundary data (with Qin Zhang), J. Nonlinear Analysis, 31(1998), 1-13.
56. Reaction-diffusion equations with nonlinear boundary conditions, blow-up and steady states (with Qin Zhang), Math. Methods in Appl. Sciences, 21(1998), 1593-1617.
57. Existence and monotone scheme for T-periodic nonquasimontone reaction-diffusion systems, application to autocatalytic chemistry (with L. Ortega), J.Math Anal. Appl., 221(1998), 712-733.
58. Optimal control of multigroup neutron fission systems, (with G. Chen), Applied Math. & Optimization, 40(1999), 39-60.
59. Asymptotically
stable positive periodic solutions for parabolic systems with temperature feedback,
(with B. Villa), J. Nonlinear Analysis, 41(2000), 75-95.
60. Bifurcation
of reaction-diffusion systems related to epidemics, (with B. Villa),
Proceedings of Nonlinear Diff. Eq. in honor of A. Lazer, Electronic
J. of Diff. Eqs, Conference 5, 2000.
61. Bifurcation of reaction-diffusion systems, application to epidemics of many species, (with B. Villa), J. Math. Anal. Appl.,244(2000), 542-563.
62. Positive solutions for systems of PDE and optimal control, J. Nonlinear Analysis, 47(2001), 1345-1356.
63. Bifurcating positive stable steady-states for a system of damped wave equations, Differential and Integral Equations, 16(2003), 453-471.
64. Asymptotically stable invariant manifold for coupled parabolic-hyperbolic partial differential equations, J. Diff. Eqns.,187(2003),184-200.