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We investigate the one-dimensional Kondo lattice model (1D KLM) forferromagnetic Kondo couplings. The so-called ferromagnetic 2-leg spin ladderand the S=1 antiferromagnet occur as new one-dimensional Kondo insulators. Bothexhibit a spin gap. But, in contrast to the strong coupling limit, the Haldanestate which characterizes the 2-leg spin ladder Kondo insulator cannot fightagainst very weak exterior perturbations. First, by using standard bosonizationtechniques, we prove that an antiferromagnetic ground state occurs by dopingwith few holes; it is characterized by a form factor of the spin-spincorrelation functions which exhibits two structures respectively at $q=\pi$ and$q=2k_F$. Second, we prove precisely by using renormalization group methodsthat the Anderson-localization inevitably takes place in that weak-couplingHaldane system, by the introduction of quenched randomness; the spin-fixedpoint rather corresponds to a ``glass'' state. Finally, a weak-coupling``analogue'' of the S=1 antiferromagnet Kondo insulator is proposed; we showthat the transition into the Anderson-localization state may be avoided in thatunusual weak-coupling Haldane system.Comment: 22 pages, TEX and 2 figures (long version); to be published in Phys.  Rev. B (December 97

Hole doping and disorder effects on the one-dimensional Kondo lattice, for ferromagnetic Kondo couplings